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

9789811630453 (electronic bk.)
9811630453 (electronic bk.)
9789811630446
9811630445

Singapore : Springer, [2021]

©2021

English

1 online resource (134 pages) : illustrations (chiefly color)

10.1007/978-981-16-3045-3 doi

QC174.35.S2 H57 2021

530.12

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.

"Doctoral thesis accepted by Osaka University, Osaka, Japan."

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