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Free And Interacting Quantum Fields

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Publisher : World Scientific
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ISBN : 981314548X
Pages : 740 pages
Rating : 4.3/5 (145 Download)

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Download Free Free And Interacting Quantum Fields PDF by Merches Ioan Full Book and published by World Scientific. This book was released on 2017-10-25 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern physics is characterized by two great theories, which make it fundamentally different from its predecessor: quantum theory and theory of relativity. In this book we want to bring to the reader's attention several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and galactic universe. Contents: PrefaceIntroductionClassical and Quantum Free FieldsThe Gravitational Transmutations HypothesisTomonaga–Schwinger Representation of Dynamics of a Quantum Physical System. Matrix Elements of the Field Operators and Feynman{Dyson-Type Rules for High-Spin ParticlesFundamentals of Gauge Theories. The Minimal Coupling PrincipleThe Gravitational Field Interacting with Other FieldsInteraction of Scalar, Spinorial, Spin-Vectorial and Tensorial Particles, and the Gravitational Field Described by the Schwarzschild MetricScattering of Electrons and Photogeneration of Gravitons in External Gravitational FieldInteraction of Scalar, Spinorial, Vectorial, Spin-Vectorial and Tensorial Particles with the Axially-Symmetric Gravitational Field Described by the Kerr MetricSoftware Package for Analytical Calculation of Differential Cross-Sections of Gravitational Scattering of High-Spin ParticlesAppendices: Isotopic FormalismThe Dirac Matrices and the Dirac EquationOperatorial TransformationsSingular FunctionsIntegration Formulas in Momentum SpaceMatrix Elements of the Field Operators and First-Order Vertices for the Gravitational Interaction of ParticlesExpressions of the Coeffcients-Functions of the Differential and Integral Scattering Cross-Sections of Particles in the External Axially-Symmetric Gravitational Field Described by the Kerr MetricValues of Several Physical Quantities in CGS and Natural (ħ = 1, c = 1) Unit Systems. Equivalence Between Different Units of Measurement Readership: Researchers and graduate students in quantum field theory and theoretical physics. Keywords: Quantum FieldsReview: Key Features: In this book we present several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and universe

Download Quantum Field Theory and Statistical Mechanics PDF Full

Quantum Field Theory and Statistical Mechanics

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Publisher : Springer Science & Business Media
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ISBN : 1461251583
Pages : 418 pages
Rating : 4.1/5 (251 Download)

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Download Free Quantum Field Theory and Statistical Mechanics PDF by James Glimm Full Book and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer mions) at space-like separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields.

Download Theory of Interacting Quantum Fields PDF Full

Theory of Interacting Quantum Fields

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Publisher : Walter de Gruyter
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ISBN : 3110250632
Pages : 588 pages
Rating : 4.0/5 (25 Download)

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Download Free Theory of Interacting Quantum Fields PDF by Alexei L. Rebenko Full Book and published by Walter de Gruyter. This book was released on 2012-07-04 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the systematic and encyclopedic presentation of the foundations of quantum field theory. It represents mathematical problems of the quantum field theory with regard to the new methods of the constructive and Euclidean field theory formed for the last thirty years of the 20th century on the basis of rigorous mathematical tools of the functional analysis, the theory of operators, and the theory of generalized functions. The book is useful for young scientists who desire to understand not only the formal structure of the quantum field theory but also its basic concepts and connection with classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of functional integration.

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A Pedestrian Approach to Quantum Field Theory

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Publisher : Courier Corporation
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ISBN : 0486780228
Pages : 192 pages
Rating : 4.6/5 (78 Download)

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Download Free A Pedestrian Approach to Quantum Field Theory PDF by Edward G Harris Full Book and published by Courier Corporation. This book was released on 2014-05-21 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a renowned professor of physics, this introductory text is geared toward graduate students taking a year-long course in quantum mechanics in which the third quarter is devoted to relativistic wave equations and field theory. Difficult concepts are introduced gradually, and the theory is applied to physically interesting problems. After an introductory chapter on the formation of quantum mechanics, the treatment advances to examinations of the quantum theory of the free electromagnetic field, the interaction of radiation and matter, second quantization, the interaction of quantized fields, and quantum electrodynamics. Additional topics include the theory of beta decay, particles that interact among themselves, quasi particles in plasmas and metals, and the problem of infinities in quantum electrodynamics. The Appendix contains selected answers to problems that appear throughout the text.

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From Classical Field Theory to Perturbative Quantum Field Theory

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Publisher : Springer
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ISBN : 3030047385
Pages : 536 pages
Rating : 4.0/5 (47 Download)

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Download Free From Classical Field Theory to Perturbative Quantum Field Theory PDF by Michael Dütsch Full Book and published by Springer. This book was released on 2019-03-18 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.

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Advances in Algebraic Quantum Field Theory

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Publisher : Springer
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ISBN : 3319213539
Pages : 453 pages
Rating : 4.9/5 (213 Download)

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Download Free Advances in Algebraic Quantum Field Theory PDF by Romeo Brunetti Full Book and published by Springer. This book was released on 2015-09-04 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

Download Quantum Field Theory: A Tourist Guide for Mathematicians PDF Full

Quantum Field Theory: A Tourist Guide for Mathematicians

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Publisher : American Mathematical Soc.
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ISBN : 1470464837
Pages : 325 pages
Rating : 4.0/5 (464 Download)

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Download Free Quantum Field Theory: A Tourist Guide for Mathematicians PDF by Gerald B. Folland Full Book and published by American Mathematical Soc.. This book was released on 2021-02-03 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam–Weinberg model of electromagnetic and weak interactions.

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Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields

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Publisher : World Scientific
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ISBN : 9813207132
Pages : 892 pages
Rating : 4.3/5 (27 Download)

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Download Free Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields PDF by Arai Asao Full Book and published by World Scientific. This book was released on 2017-12-20 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation relations and canonical anti-commutation relations, Bogoliubov transformations, infinite-dimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and a short description to each model is given. To graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory, this book is a good introductory text. It is also well suited for self-study and will provide readers a firm foundation of knowledge and mathematical techniques for reading more advanced books and current research articles in the field of mathematical analysis on quantum fields. Also, numerous problems are added to aid readers to develop a deeper understanding of the field. Contents: Linear Operators on Hilbert SpaceTensor Product of Hilbert SpacesTensor Product of Linear Operators on Hilbert SpacesFull Fock SpaceBoson Fock SpaceFermion Fock SpaceBoson-Fermion Fock SpaceTheory of Infinite-Dimensional Dirac Operators and Abstract Supersymmetric Quantum Fields General Theory of Quantum FieldsQuantum de Broglie FieldQuantum Klein–Gordon FieldQuantum Radiation FieldQuantum Dirac Fieldvan Hove ModelOverview of Interacting Quantum Field Models Readership: Advanced undergraduate and graduate students in mathematics or physics, mathematicians and mathematical physicists. Keywords: Fock Space;Second Quantization;Canonical Commutation Relation;Canonical Anti-Commutation Relation;Quantum Field;Bose Field;Fermi Field;Dirac Operator;Supersymmetry;Supersymmetric Quantum Field; Quantum Electrodynamics;van Hove ModelReview: Key Features: Detailed description of the theory of Fock spaces including full Fock spaces, boson Fock spaces, fermion Fock spaces and boson-fermion Fock spacesNew topics are included, such as the theory of infinite dimensional Dirac operators and an abstract supersymmetric quantum field theory, which have been originally developed by the authorDetailed treatment of mathematical constructions of free quantum field models as well as a simple interacting model

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Particles and Quantum Fields

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Publisher : World Scientific
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ISBN : 9814740926
Pages : 1628 pages
Rating : 4.4/5 (74 Download)

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Download Free Particles and Quantum Fields PDF by Hagen Kleinert Full Book and published by World Scientific. This book was released on 2016-05-30 with total page 1628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book on elementary particles and their interactions. It starts out with many-body Schrödinger theory and second quantization and leads, via its generalization, to relativistic fields of various spins and to gravity. The text begins with the best known quantum field theory so far, the quantum electrodynamics of photon and electrons (QED). It continues by developing the theory of strong interactions between the elementary constituents of matter (quarks). This is possible due to the property called asymptotic freedom. On the way one has to tackle the problem of removing various infinities by renormalization. The divergent sums of infinitely many diagrams are performed with the renormalization group or by variational perturbation theory (VPT). The latter is an outcome of the Feynman-Kleinert variational approach to path integrals discussed in two earlier books of the author, one representing a comprehensive treatise on path integrals, the other dealing with critial phenomena. Unlike ordinary perturbation theory, VPT produces uniformly convergent series which are valid from weak to strong couplings, where they describe critical phenomena. The present book develops the theory of effective actions which allow to treat quantum phenomena with classical formalism. For example, it derives the observed anomalous power laws of strongly interacting theories from an extremum of the action. Their fluctuations are not based on Gaussian distributions, as in the perturbative treatment of quantum field theories, or in asymptotically-free theories, but on deviations from the average which are much larger and which obey power-like distributions. Exactly solvable models are discussed and their physical properties are compared with those derived from general methods. In the last chapter we discuss the problem of quantizing the classical theory of gravity. Contents: FundamentalsField Formulation of Many-Body Quantum PhysicsInteracting Nonrelativistic ParticlesFree Relativistic Particles and FieldsClassical RadiationRelativistic Particles and Fields in External Electromagnetic PotentialQuantization of Relativistic Free FieldsContinuous Symmetries and Conservation Laws. Noether's TheoremScattering and Decay of ParticlesQuantum Field Theoretic Perturbation TheoryExtracting Finite Results from Perturbation Series. Regularization, RenormalizationQuantum ElectrodynamicsFormal Properties of Perturbation TheoryFunctional-Integral Representation of Quantum Field TheorySystematic Graphical Construction of Feynman DiagramsSpontaneous Symmetry BreakdownScalar Quantum ElectrodynamicsExactly Solvable O(N)-Symmetric ϕ4-Theory for Large NNonlinear σ-ModelThe Renormalization GroupCritical Properties of Nonlinear σ-ModelFunctional-Integral Calculation of Effective Action. Loop ExpansionExactly Solvable O(N)-Symmetric Four-Fermion Theory in 2+ε Dimensions Internal Symmetries of Strong InteractionsSymmetries Linking Internal and Spacetime PropertiesHadronization of Quark TheoriesWeak InteractionsNonabelian Gauge Theory of Strong InteractionsCosmology with General Curvature-Dependent LagrangianEinstein Gravity from Fluctuating Conformal GravityPurely Geometric Part of Dark Matter Readership: Students and researchers in theoretical physics.

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Mathematics of Quantization and Quantum Fields

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Publisher : Cambridge University Press
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ISBN : 1107011116
Pages : 674 pages
Rating : 4.7/5 (11 Download)

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Download Free Mathematics of Quantization and Quantum Fields PDF by Jan Dereziński Full Book and published by Cambridge University Press. This book was released on 2013-03-07 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers.

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Quantum Theory of the Third Kind

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Publisher : Pingree-Hill Publishing
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ISBN : 0974695831
Pages : 206 pages
Rating : 4.4/5 (695 Download)

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Download Free Quantum Theory of the Third Kind PDF by Stephen Blaha Full Book and published by Pingree-Hill Publishing. This book was released on 2005 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking book develops a new form of quantum theory. First there was quantum mechanics. Then there was quantum field theory. Now we have quantum theory of the third kind: a new form of quantum field theory with quantum coordinates in the imaginary part of a complex space-time. This book is the second edition of ?A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity? with major additions on unitarity, relativistic invariance and the nature of space-time. Some major new results in this books are: A Unified Theory of QED, Weak Interactions, Strong Interactions and Quantum Gravity; A General Formulation of Divergence-free Quantum Field Theories (Detailed discussions of unitarity and special relativity showing these theories are physically acceptable.). A divergence-free quantum field theory for massive vector bosons: No need for the Higgs mechanism. The "Low Energy" Limit of elementary particle sector of unified theory approximates the Standard Model (& QED) to extreme accuracy. It suggests possible doubly charged dilepton, and other exotic, resonances. The "Large Distance", classical limit of Quantum Gravity sector is General Relativity. It suggests no ultra-light Black Holes exist. Gravity is repulsive (anti-gravity) at ultra-short distances. Two-tier gravity ?saves? the concept of a space-time point by evading Wigner?s classic argument against it. Based on experimental data a preferred local reference frame defined by Cosmic Background Radiation is shown to exist in each locale. (Preferred local inertial frames are used in two-tier quantum gravity whose dynamical equations are invariant under general relativistic transformations but whose ?ground state? breaks the invariance down to invariance under special relativity.) A New form of hidden dimensions is defined ? Quantum Dimensions ? dimensions implemented via a quantum gauge field. A New method in the Calculus of Variations ? composition of extrema ? is described.

Download Quantum Field Theory I: Basics in Mathematics and Physics PDF Full

Quantum Field Theory I: Basics in Mathematics and Physics

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Publisher : Springer Science & Business Media
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ISBN : 354034764X
Pages : 1052 pages
Rating : 4.0/5 (347 Download)

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Download Free Quantum Field Theory I: Basics in Mathematics and Physics PDF by Eberhard Zeidler Full Book and published by Springer Science & Business Media. This book was released on 2007-04-18 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

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Free and Interacting Quantum Fields

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Publisher : World Scientific Publishing Company
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ISBN : 9789813145467
Pages : 600 pages
Rating : 4.5/5 (463 Download)

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Download Free Free and Interacting Quantum Fields PDF by Ioan Merches Full Book and published by World Scientific Publishing Company. This book was released on 2017-03-31 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern physics is characterized by two great theories, which make it fundamentally different from its predecessor: quantum theory and theory of relativity. In this book we want to bring to the reader's attention several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and galactic universe.

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Quantum Field Theory for Economics and Finance

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Publisher : Cambridge University Press
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ISBN : 1108423159
Pages : 729 pages
Rating : 4.8/5 (423 Download)

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Download Free Quantum Field Theory for Economics and Finance PDF by Belal Ehsan Baaquie Full Book and published by Cambridge University Press. This book was released on 2018-08-31 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to how the mathematical tools from quantum field theory can be applied to economics and finance. Providing a range of quantum mathematical techniques for designing financial instruments, it demonstrates how a range of topics have quantum mechanical formulations, from asset pricing to interest rates.

Download Mathematics of Quantization and Quantum Fields PDF Full

Mathematics of Quantization and Quantum Fields

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Publisher : Cambridge University Press
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ISBN : 1107328365
Pages : pages
Rating : 4.7/5 (328 Download)

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Download Free Mathematics of Quantization and Quantum Fields PDF by Jan Dereziński Full Book and published by Cambridge University Press. This book was released on 2013-03-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. They begin with a discussion of the mathematical structures underlying free bosonic or fermionic fields, like tensors, algebras, Fock spaces, and CCR and CAR representations (including their symplectic and orthogonal invariance). Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in departments of mathematics and physics.

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Introduction to Algebraic and Constructive Quantum Field Theory

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Publisher : Princeton University Press
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ISBN : 1400862507
Pages : 310 pages
Rating : 4.0/5 (862 Download)

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Download Free Introduction to Algebraic and Constructive Quantum Field Theory PDF by John C. Baez Full Book and published by Princeton University Press. This book was released on 2014-07-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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Quantum Field Theory and the Standard Model

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Publisher : Cambridge University Press
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ISBN : 1107034736
Pages : 869 pages
Rating : 4.7/5 (34 Download)

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Download Free Quantum Field Theory and the Standard Model PDF by Matthew D. Schwartz Full Book and published by Cambridge University Press. This book was released on 2014 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.