Towards Infrared Finite S-matrix in Quantum Field Theory
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Beschreibung
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.
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.
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
Autor*in
Hayato Hirai
Themen in »Towards Infrared Finite S-matrix in Quantum Field Theory«
Infrared Divergence in S-matrix Infrared Finite S-Matrix Infrared Triangle Faddeev-Kulish Dressed State Asymptotic Symmetry Memory Effect Soft-Photon Theorem Classical Asymptotic Symmetry Group (cASG) Gauge Invariance of F-K Dressed State