Towards Infrared Finite S-matrix in Quantum Field Theory

Towards Infrared Finite S-matrix in Quantum Field Theory

Author: Hayato Hirai

Publisher: Springer Nature

Published: 2021-07-17

Total Pages: 134

ISBN-13: 9811630453

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This book presents the better understanding of infrared structures of particle scattering processes in quantum electrodynamics (QED) in four-dimensional spacetime. An S-matrix is the fundamental quantity in scattering theory. However, if a theory involves massless particles, such as QED and gravity, the conventional S-matrix has not been well defined due to the infrared divergence, and infrared dynamics thus needs to be understood in-depth to figure out the S-matrix. The book begins with introducing fundamental nature of the charge conservation law associated with asymptotic symmetry, and explaining its relations to soft theorems and memory effect. Subsequently it looks into an appropriate asymptotic state of the S-matrix without infrared divergences. The Faddeev-Kulish dressed state is known as a candidate of such a state, and its gauge invariant condition and its relation to the asymptotic symmetry are discussed. It offers an important building blocks for constructing the S-matrix without infrared divergences.


Book Synopsis Towards Infrared Finite S-matrix in Quantum Field Theory by : Hayato Hirai

Download or read book Towards Infrared Finite S-matrix in Quantum Field Theory written by Hayato Hirai and published by Springer Nature. This book was released on 2021-07-17 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the better understanding of infrared structures of particle scattering processes in quantum electrodynamics (QED) in four-dimensional spacetime. An S-matrix is the fundamental quantity in scattering theory. However, if a theory involves massless particles, such as QED and gravity, the conventional S-matrix has not been well defined due to the infrared divergence, and infrared dynamics thus needs to be understood in-depth to figure out the S-matrix. The book begins with introducing fundamental nature of the charge conservation law associated with asymptotic symmetry, and explaining its relations to soft theorems and memory effect. Subsequently it looks into an appropriate asymptotic state of the S-matrix without infrared divergences. The Faddeev-Kulish dressed state is known as a candidate of such a state, and its gauge invariant condition and its relation to the asymptotic symmetry are discussed. It offers an important building blocks for constructing the S-matrix without infrared divergences.

An Introduction to Quantum Field Theory

An Introduction to Quantum Field Theory

Author: George Sterman

Publisher: Cambridge University Press

Published: 1993-08-26

Total Pages: 596

ISBN-13: 9780521311328

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Starting from introductory quantum and classical mechanics, this text develops the quantum field theories that make up the `Standard Model' of elementary processes in a systematic presentation emphasizing theoretical concepts as well as experimental applications.


Book Synopsis An Introduction to Quantum Field Theory by : George Sterman

Download or read book An Introduction to Quantum Field Theory written by George Sterman and published by Cambridge University Press. This book was released on 1993-08-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from introductory quantum and classical mechanics, this text develops the quantum field theories that make up the `Standard Model' of elementary processes in a systematic presentation emphasizing theoretical concepts as well as experimental applications.

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.


Book Synopsis Finite Quantum Electrodynamics by : Gunter Scharf

Download or read book Finite Quantum Electrodynamics written by Gunter Scharf and published by Courier Corporation. This book was released on 2014-04-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Non-perturbative Methods in 2 Dimensional Quantum Field Theory

Non-perturbative Methods in 2 Dimensional Quantum Field Theory

Author: Elcio Abdalla

Publisher: World Scientific

Published: 2001

Total Pages: 834

ISBN-13: 9812810153

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The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings. This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory. Contents: Free Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear a Models: Classical Aspects; Nonlinear a Models OCo Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED 2: Operator Approach; Quantum Chromodynamics; QED 2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics. Readership: Graduate students and researchers in high energy and quantum physics."


Book Synopsis Non-perturbative Methods in 2 Dimensional Quantum Field Theory by : Elcio Abdalla

Download or read book Non-perturbative Methods in 2 Dimensional Quantum Field Theory written by Elcio Abdalla and published by World Scientific. This book was released on 2001 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings. This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory. Contents: Free Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear a Models: Classical Aspects; Nonlinear a Models OCo Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED 2: Operator Approach; Quantum Chromodynamics; QED 2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics. Readership: Graduate students and researchers in high energy and quantum physics."

Introduction to Quantum Field Theory

Introduction to Quantum Field Theory

Author: Franz Mandl

Publisher:

Published: 1960

Total Pages: 226

ISBN-13:

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Hints for solving exercises


Book Synopsis Introduction to Quantum Field Theory by : Franz Mandl

Download or read book Introduction to Quantum Field Theory written by Franz Mandl and published by . This book was released on 1960 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hints for solving exercises

Quantum Infrared Physics

Quantum Infrared Physics

Author: Herbert Martin Fried

Publisher: World Scientific

Published: 1995-05-09

Total Pages: 554

ISBN-13: 9814549576

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The common thread of the contributions collected here is an infrared approach to pressing problems in quantum field theory. Both high and low energy physics are represented, with much emphasis on QCD (Gribov horizons, infrared models, semiclassical applications, and effective Lagrangians). Other fields of interest are thermal infrared singularities, soft Pomeron physics, eikonal scattering phenomenology and the physics of bound states.


Book Synopsis Quantum Infrared Physics by : Herbert Martin Fried

Download or read book Quantum Infrared Physics written by Herbert Martin Fried and published by World Scientific. This book was released on 1995-05-09 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The common thread of the contributions collected here is an infrared approach to pressing problems in quantum field theory. Both high and low energy physics are represented, with much emphasis on QCD (Gribov horizons, infrared models, semiclassical applications, and effective Lagrangians). Other fields of interest are thermal infrared singularities, soft Pomeron physics, eikonal scattering phenomenology and the physics of bound states.

Scattering in Quantum Field Theories

Scattering in Quantum Field Theories

Author: Daniel Iagolnitzer

Publisher: Princeton University Press

Published: 2014-07-14

Total Pages: 312

ISBN-13: 1400863163

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Axiomatic and constructive approaches to quantum field theory first aim to establish it on precise, non-perturbative bases: general axioms and rigorous definition of specific theories respectively. From the viewpoint of particle physics, the goal is then to develop a relativistic scattering theory, including particle analysis and the derivation of general properties of collision amplitudes. Taking into account successive improvements, this book provides a modern, self-contained, and coherent presentation of important developments from the last twenty years, most of which have not been treated or discussed in detail in earlier books. These developments include in particular the axiomatic derivation, in massive theories, of general causal and momentum-space analyticity properties of multiparticle collision amplitudes; the constructive definition, initially in the (unphysical) euclidean space, of various models including non-super-renormalizable theories treated in the 1980s via phase-space expansions; and the subsequent constructive approach to scattering theory, which provides information on the mass spectrum, asymptotic completeness, and multiparticle structure in increasingly higher energy regions. Originally published in 1993. 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.


Book Synopsis Scattering in Quantum Field Theories by : Daniel Iagolnitzer

Download or read book Scattering in Quantum Field Theories written by Daniel Iagolnitzer and published by Princeton University Press. This book was released on 2014-07-14 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Axiomatic and constructive approaches to quantum field theory first aim to establish it on precise, non-perturbative bases: general axioms and rigorous definition of specific theories respectively. From the viewpoint of particle physics, the goal is then to develop a relativistic scattering theory, including particle analysis and the derivation of general properties of collision amplitudes. Taking into account successive improvements, this book provides a modern, self-contained, and coherent presentation of important developments from the last twenty years, most of which have not been treated or discussed in detail in earlier books. These developments include in particular the axiomatic derivation, in massive theories, of general causal and momentum-space analyticity properties of multiparticle collision amplitudes; the constructive definition, initially in the (unphysical) euclidean space, of various models including non-super-renormalizable theories treated in the 1980s via phase-space expansions; and the subsequent constructive approach to scattering theory, which provides information on the mass spectrum, asymptotic completeness, and multiparticle structure in increasingly higher energy regions. Originally published in 1993. 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.

Quantum Field Theory

Quantum Field Theory

Author: Lowell S. Brown

Publisher: Cambridge University Press

Published: 1992

Total Pages: 564

ISBN-13: 9780521469463

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This book develops quantum field theory starting from its foundation in quantum mechanics. Quantum field theory is the basic theory of elementary particle physics. In recent years, many techniques have been developed which extend and clarify this theory. This book incorporates these modern methods, giving a thoroughly modern pedagogic account which starts from first principles. The path integral formulation is introduced right at the beginning. The method of dimensional continuation is employed to regulate and renormalize the theory. This facilitates the introduction of the concepts of the renormalization group at an early stage. The notion of spontaneous symmetry breakdown is also introduced early on by the example of superfluid helium. Topics in quantum electrodynamics are described which have an analog in quantum chromodynamics. Some novel techniques are employed, such as the use of dimensional continuation to compute the Lamb shift. Many problems are included.


Book Synopsis Quantum Field Theory by : Lowell S. Brown

Download or read book Quantum Field Theory written by Lowell S. Brown and published by Cambridge University Press. This book was released on 1992 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops quantum field theory starting from its foundation in quantum mechanics. Quantum field theory is the basic theory of elementary particle physics. In recent years, many techniques have been developed which extend and clarify this theory. This book incorporates these modern methods, giving a thoroughly modern pedagogic account which starts from first principles. The path integral formulation is introduced right at the beginning. The method of dimensional continuation is employed to regulate and renormalize the theory. This facilitates the introduction of the concepts of the renormalization group at an early stage. The notion of spontaneous symmetry breakdown is also introduced early on by the example of superfluid helium. Topics in quantum electrodynamics are described which have an analog in quantum chromodynamics. Some novel techniques are employed, such as the use of dimensional continuation to compute the Lamb shift. Many problems are included.

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.


Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin

Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finite Quantum Electrodynamics

Finite Quantum Electrodynamics

Author: G. Scharf

Publisher: Springer Science & Business Media

Published: 2013-04-18

Total Pages: 233

ISBN-13: 3662011875

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In this book the author carefully analyses the role of the concept of causality in Quantum Electrodynamics. This approach makes it possible for the first time to publish a textbook on QED which not only includes full proofs and detailed calculations but is also mathematically rigorous. The book begins with Dirac's theory in part one, followed in part two by the quantum theory of free fields including a new approach to the concept of exterior fields. The third part is devoted to the study of the S-matrix of QED avoiding ultraviolet divergence. The most important physical results of QED are derived, and significant themes such as unitarity and renormalizability of the theory are discussed. This slim book addresses graduate students in physics. From the reviews: "In the summary on the back cover the unheard-of statement appears that now the first (mathematically) rigorous textbook on Quantum Electrodynamics was on hand. ... In fact, "Finite Quantum Electrodynamics" does justice to this claim. And, in addition, in a pregnant, lifely form. On 220 pages G. Scharf (Zurich) succeeds in presenting a concise description of QED ... As promised, only finite quantities appear ... In Russia I often feel frustrated that I studied Latin in school and Russian was not offered. Now I have the same feeling after reading Scharf's book. I studied the wrong grammar up to now." #Translated from a review by Thomas Schücker in Physik in unserer Zeit#1


Book Synopsis Finite Quantum Electrodynamics by : G. Scharf

Download or read book Finite Quantum Electrodynamics written by G. Scharf and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author carefully analyses the role of the concept of causality in Quantum Electrodynamics. This approach makes it possible for the first time to publish a textbook on QED which not only includes full proofs and detailed calculations but is also mathematically rigorous. The book begins with Dirac's theory in part one, followed in part two by the quantum theory of free fields including a new approach to the concept of exterior fields. The third part is devoted to the study of the S-matrix of QED avoiding ultraviolet divergence. The most important physical results of QED are derived, and significant themes such as unitarity and renormalizability of the theory are discussed. This slim book addresses graduate students in physics. From the reviews: "In the summary on the back cover the unheard-of statement appears that now the first (mathematically) rigorous textbook on Quantum Electrodynamics was on hand. ... In fact, "Finite Quantum Electrodynamics" does justice to this claim. And, in addition, in a pregnant, lifely form. On 220 pages G. Scharf (Zurich) succeeds in presenting a concise description of QED ... As promised, only finite quantities appear ... In Russia I often feel frustrated that I studied Latin in school and Russian was not offered. Now I have the same feeling after reading Scharf's book. I studied the wrong grammar up to now." #Translated from a review by Thomas Schücker in Physik in unserer Zeit#1