Springer Theses

Towards Infrared Finite S-matrix in Quantum Field Theory

Authors: Hirai, Hayato

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  • 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
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  • ISBN 978-981-16-3045-3
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Hardcover £109.99
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About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook £87.50
price for United Kingdom (gross)
  • ISBN 978-981-16-3045-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £109.99
price for United Kingdom (gross)
  • ISBN 978-981-16-3044-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Towards Infrared Finite S-matrix in Quantum Field Theory
Authors
Series Title
Springer Theses
Copyright
2021
Publisher
Springer Singapore
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-16-3045-3
DOI
10.1007/978-981-16-3045-3
Hardcover ISBN
978-981-16-3044-6
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIII, 127
Number of Illustrations
1 b/w illustrations, 4 illustrations in colour
Topics