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Towards Infrared Finite S-Matrix in Quantum Field Theory by Hayato Hirai

Towards Infrared Finite S-Matrix in Quantum Field Theory

by Hayato Hirai
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Book cover type: Paperback
  • ISBN13: 9789811630477
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 127
  • Original Price: EUR 99.99
  • Language: English
  • Edition: 2021
  • Item Weight: 228 grams
  • BISAC Subject(s): Physics / Nuclear and Physics / Quantum Theory

From the Back Cover

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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