Towards Infrared Finite S-matrix in Quantum Field Theory - Hayato Hirai

Towards Infrared Finite S-matrix in Quantum Field Theory (eBook)

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2021 | 1st ed. 2021
XIII, 127 Seiten
Springer Singapore (Verlag)
978-981-16-3045-3 (ISBN)
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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.
Erscheint lt. Verlag 17.7.2021
Reihe/Serie Springer Theses
Springer Theses
Zusatzinfo XIII, 127 p. 5 illus., 4 illus. in color.
Sprache englisch
Themenwelt Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Asymptotic Symmetry • Classical Asymptotic Symmetry Group (cASG) • Faddeev-Kulish Dressed State • Gauge Invariance of F-K Dressed State • Infrared Divergence in S-matrix • Infrared Finite S-Matrix • Infrared Triangle • Memory effect • Soft-Photon Theorem
ISBN-10 981-16-3045-3 / 9811630453
ISBN-13 978-981-16-3045-3 / 9789811630453
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