Towards Infrared Finite S-matrix in Quantum Field Theory

This book discusses the infrared structures of particle scattering processes in quantum electrodynamics (QED) in four-dimensional spacetime, focusing on the S-matrix and the Faddeev-Kulish dressed state as a candidate for an asymptotic state without infrared divergences. It provides a foundation for constructing the S-matrix and understanding infrared dynamics in theories involving massless particles.

Format: Hardback
Length: 127 pages
Publication date: 18 July 2021
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the intricate realm of infrared structures in quantum electrodynamics (QED) within four-dimensional spacetime. An S-matrix holds paramount significance in scattering theory, serving as a fundamental quantity. However, when dealing with theories involving massless particles, such as QED and gravity, the conventional S-matrix encounters challenges due to infrared divergences. Consequently, a deep understanding of infrared dynamics is essential to unravel the intricacies of the S-matrix.

The book commences by exploring the fundamental aspects of the charge conservation law linked to asymptotic symmetry. It elucidates the connections between soft theorems and memory effects, providing a solid foundation for subsequent discussions. Subsequently, it delves into the formulation of an appropriate asymptotic state of the S-matrix that avoids infrared divergences. The Faddeev-Kulish dressed state emerges as a promising candidate for such a state, and the book examines its gauge invariant condition and its relationship to asymptotic symmetry. This chapter serves as a crucial building block in constructing the S-matrix without infrared divergences.

The book continues by examining various aspects of the S-matrix, including its properties, transformation rules, and applications. It discusses the significance of the S-matrix in understanding particle scattering processes and its role in various physical phenomena. The book also explores the connection between the S-matrix and quantum field theory in general relativity, highlighting the similarities and differences between the two approaches.

Throughout the text, the authors employ a clear and concise writing style, making the material accessible to a wide range of readers, including students, researchers, and practitioners in the field of quantum physics. The book is well-organized, with each chapter providing a comprehensive overview of the relevant topics. Additionally, the book includes numerous examples and exercises to aid in understanding and applying the concepts discussed.

In conclusion, this book is a valuable resource for anyone seeking to gain a deeper understanding of infrared structures in quantum electrodynamics. It provides a comprehensive treatment of the subject, covering key concepts, theories, and applications. With its clear and concise writing style, extensive examples, and exercises, the book is an excellent tool for students, researchers, and practitioners in the field.

Weight: 389g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811630446
Edition number: 1st ed. 2021