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Towards Infrared Finite S-matrix in Quantum Field Theory: Springer Theses

Autor Hayato Hirai
en Limba Engleză Paperback – 19 iul 2022
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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Specificații

ISBN-13: 9789811630477
ISBN-10: 981163047X
Ilustrații: XIII, 127 p. 5 illus., 4 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.21 kg
Ediția:1st ed. 2021
Editura: Springer Nature Singapore
Colecția Springer
Seria Springer Theses

Locul publicării:Singapore, Singapore

Cuprins

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. 

Textul de pe ultima copertă

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.

Caracteristici

Nominated as an outstanding Ph.D. thesis by the Osaka University, Osaka, Japan Offer a frontier research on constructing S-matrix without infrared divergence Provides reviews of basics of asymptotic symmetry, infrared divergence and S-matrix in QED