Towards Infrared Finite S-matrix in Quantum Field Theory

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.

1139366449
Towards Infrared Finite S-matrix in Quantum Field Theory

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.

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Towards Infrared Finite S-matrix in Quantum Field Theory

Towards Infrared Finite S-matrix in Quantum Field Theory

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

Towards Infrared Finite S-matrix in Quantum Field Theory

by Hayato Hirai

eBook1st ed. 2021 (1st ed. 2021)

$99.00 

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Overview

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.


Product Details

ISBN-13: 9789811630453
Publisher: Springer-Verlag New York, LLC
Publication date: 07/17/2021
Series: Springer Theses
Sold by: Barnes & Noble
Format: eBook
File size: 11 MB
Note: This product may take a few minutes to download.

Table of Contents

Introduction and Summary.- Asymptotic Symmetry.- Infrared Divergences.- Equivalence Between Soft Theorem and Asymptotic Symmetry.- Towards the IR nite S-matrix.- Conclusion and Further Discussion.- Appendix. 

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