Perturbative Quantum Electrodynamics and Axiomatic Field Theory

Perturbative Quantum Electrodynamics and Axiomatic Field Theory

Author: Othmar Steinmann

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 353

ISBN-13: 3662042975

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This novel approach is presented for the first time in book form. The author demonstrates that fundamental concepts and methods from phenomenological particle physics can be derived rigorously from well-defined general assumptions in a mathematically clean way.


From Classical Field Theory to Perturbative Quantum Field Theory

From Classical Field Theory to Perturbative Quantum Field Theory

Author: Michael Dütsch

Publisher: Springer

Published: 2019-03-18

Total Pages: 536

ISBN-13: 3030047385

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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.


Finite Quantum Electrodynamics

Finite Quantum Electrodynamics

Author: Gunter Scharf

Publisher: Courier Corporation

Published: 2014-04-23

Total Pages: 434

ISBN-13: 0486492737

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The third edition of this classic graduate-level physics text covers relativistic quantum mechanics, field quantization, causal perturbation theory, properties of the S-matrix, and considerations of other electromagnetic couplings. 2014 edition.


From Classical Field Theory to Perturbative Quantum Field Theory

From Classical Field Theory to Perturbative Quantum Field Theory

Author: Michael Dütsch

Publisher: Birkhäuser

Published: 2019-02-26

Total Pages: 538

ISBN-13: 9783030047375

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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.


From Classical Field Theory to Perturbative Quantum Field Theory

From Classical Field Theory to Perturbative Quantum Field Theory

Author: Michael Dütsch

Publisher:

Published: 2019

Total Pages:

ISBN-13: 9783030047399

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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.


Perturbative Algebraic Quantum Field Theory

Perturbative Algebraic Quantum Field Theory

Author: Kasia Rejzner

Publisher: Springer

Published: 2016-03-16

Total Pages: 186

ISBN-13: 3319259016

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Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.


Quantum Field Theory II: Quantum Electrodynamics

Quantum Field Theory II: Quantum Electrodynamics

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

Published: 2008-09-03

Total Pages: 1125

ISBN-13: 3540853774

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And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.


Condensed Matter Field Theory

Condensed Matter Field Theory

Author: Alexander Altland

Publisher: Cambridge University Press

Published: 2010-03-11

Total Pages: 785

ISBN-13: 0521769752

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This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.


An Introduction To Quantum Field Theory

An Introduction To Quantum Field Theory

Author: Michael E. Peskin

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 866

ISBN-13: 0429972105

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An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.


Quantum Field Theory

Quantum Field Theory

Author: Claude Itzykson

Publisher: Courier Corporation

Published: 2012-09-20

Total Pages: 754

ISBN-13: 0486134695

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This comprehensive text begins with the standard quantization of electrodynamics and perturbative renormalization, advancing to functional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. 1980 edition.