Authors:
- 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
Part of the book series: Springer Theses (Springer Theses)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (6 chapters)
-
Front Matter
-
Back Matter
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.
Authors and Affiliations
-
Natural Science Education, National Institute of Technology, Kisarazu College, Kisarazu, Japan
Hayato Hirai
Bibliographic Information
Book Title: Towards Infrared Finite S-matrix in Quantum Field Theory
Authors: Hayato Hirai
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-981-16-3045-3
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
Hardcover ISBN: 978-981-16-3044-6Published: 18 July 2021
Softcover ISBN: 978-981-16-3047-7Published: 19 July 2022
eBook ISBN: 978-981-16-3045-3Published: 17 July 2021
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XIII, 127
Number of Illustrations: 1 b/w illustrations, 4 illustrations in colour
Topics: Elementary Particles, Quantum Field Theory, Theoretical, Mathematical and Computational Physics