Towards Infrared Finite S-matrix in Quantum Field Theory

Author:   Hayato Hirai
Publisher:   Springer Verlag, Singapore
Edition:   1st ed. 2021
ISBN:  

9789811630477


Pages:   127
Publication Date:   19 July 2022
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Towards Infrared Finite S-matrix in Quantum Field Theory


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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.

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Author:   Hayato Hirai
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2021
Weight:   0.232kg
ISBN:  

9789811630477


ISBN 10:   981163047
Pages:   127
Publication Date:   19 July 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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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