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Towards infrared finite S-matrix in ...

Hirai, Hayato.

Towards infrared finite S-matrix in quantum field theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Towards infrared finite S-matrix in quantum field theoryby Hayato Hirai.
作者:	Hirai, Hayato.
出版者:	Singapore :Springer Singapore :2021.
面頁冊數:	xiii, 127 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	S-matrix theory.
電子資源:	https://doi.org/10.1007/978-981-16-3045-3
ISBN:	9789811630453$q(electronic bk.)

Towards infrared finite S-matrix in quantum field theory
Hirai, Hayato.

Towards infrared finite S-matrix in quantum field theory[electronic resource] /by Hayato Hirai. - Singapore :Springer Singapore :2021. - xiii, 127 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

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.

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.

ISBN: 9789811630453$q(electronic bk.)

Standard No.: 10.1007/978-981-16-3045-3doiSubjects--Topical Terms:

563121
S-matrix theory.

LC Class. No.: QC174.35.S2 / H57 2021

Dewey Class. No.: 530.12

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520 $a 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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