Towards Infrared Finite S Matrix In Quantum Field Theory
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Author |
: Hayato Hirai |
Publisher |
: Springer Nature |
Total Pages |
: 134 |
Release |
: 2021-07-17 |
ISBN-10 |
: 9789811630453 |
ISBN-13 |
: 9811630453 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Towards Infrared Finite S-matrix in Quantum Field Theory by : Hayato Hirai
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.
Author |
: Andrew Strominger |
Publisher |
: Princeton University Press |
Total Pages |
: 199 |
Release |
: 2018-03-06 |
ISBN-10 |
: 9781400889853 |
ISBN-13 |
: 1400889855 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Lectures on the Infrared Structure of Gravity and Gauge Theory by : Andrew Strominger
A short, graduate-level synthesis of recent developments in theoretical physics, from a pioneer in the field Lectures on the Infrared Structure of Gravity and Gauge Theory presents an accessible, graduate-level synthesis of a frontier research area in theoretical physics. Based on a popular Harvard University course taught by the author, this book gives a concise introduction to recent discoveries concerning the structure of gravity and gauge theory at very long distances. These discoveries unite three disparate but well-developed subjects in physics. The first subject is the soft theorems, which were found by particle physicists in the 1950s to control the behavior of low-energy photons and are essential for all collider predictions. The second subject is asymptotic symmetries, found by general relativists in the 1960s to provide a surprising, infinite number of exact relations between distinct physical phenomena. The third subject is the memory effect, the measurement of which is sought in upcoming gravitational wave observations. An exploration of the physical and mathematical equivalence of these three subjects has provided a powerful new perspective on old results and led to a plethora of new results, involving symmetries of QED, gluon scattering amplitudes, flat-space holography in quantum gravity, black hole information, and beyond. Uniquely connective and cutting-edge, Lectures on the Infrared Structure of Gravity and Gauge Theory takes students and scholars to the forefront of new developments in the discipline. Materials are presented in a "lecture notes" style with problem sets included Concise and accessible pedagogical approach Topics include soft theorems, the memory effect, asymptotic symmetries with applications to QED, Yang-Mills theory, quantum gravity, and black holes
Author |
: Michael E. Peskin |
Publisher |
: CRC Press |
Total Pages |
: 866 |
Release |
: 2018-05-04 |
ISBN-10 |
: 9780429983184 |
ISBN-13 |
: 0429983182 |
Rating |
: 4/5 (84 Downloads) |
Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Author |
: Wei-tou Ni |
Publisher |
: World Scientific |
Total Pages |
: 636 |
Release |
: 2017-05-26 |
ISBN-10 |
: 9789814678513 |
ISBN-13 |
: 9814678511 |
Rating |
: 4/5 (13 Downloads) |
Synopsis One Hundred Years Of General Relativity: From Genesis And Empirical Foundations To Gravitational Waves, Cosmology And Quantum Gravity - Volume 2 by : Wei-tou Ni
The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.
Author |
: Molin Ge |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 596 |
Release |
: 2016-02-16 |
ISBN-10 |
: 9789814340960 |
ISBN-13 |
: 9814340960 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Fifty Years of Mathematical Physics by : Molin Ge
This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.
Author |
: |
Publisher |
: |
Total Pages |
: 1292 |
Release |
: 1976 |
ISBN-10 |
: UOM:39015026174196 |
ISBN-13 |
: |
Rating |
: 4/5 (96 Downloads) |
Synopsis Nuclear Science Abstracts by :
Author |
: Anthony Duncan |
Publisher |
: Oxford University Press |
Total Pages |
: |
Release |
: 2012-08-09 |
ISBN-10 |
: 9780191642203 |
ISBN-13 |
: 0191642207 |
Rating |
: 4/5 (03 Downloads) |
Synopsis The Conceptual Framework of Quantum Field Theory by : Anthony Duncan
The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments of the subject. The book is divided into four parts, entitled respectively "Origins", "Dynamics", "Symmetries", and "Scales". The emphasis is conceptual - the aim is to build the theory up systematically from some clearly stated foundational concepts - and therefore to a large extent anti-historical, but two historical Chapters ("Origins") are included to situate quantum field theory in the larger context of modern physical theories. The three remaining sections of the book follow a step by step reconstruction of this framework beginning with just a few basic assumptions: relativistic invariance, the basic principles of quantum mechanics, and the prohibition of physical action at a distance embodied in the clustering principle. The "Dynamics" section of the book lays out the basic structure of quantum field theory arising from the sequential insertion of quantum-mechanical, relativistic and locality constraints. The central role of symmetries in relativistic quantum field theories is explored in the third section of the book, while in the final section, entitled "Scales", we explore in detail the feature of quantum field theories most critical for their enormous phenomenological success - the scale separation property embodied by the renormalization group properties of a theory defined by an effective local Lagrangian.
Author |
: Matthew D. Schwartz |
Publisher |
: Cambridge University Press |
Total Pages |
: 869 |
Release |
: 2014 |
ISBN-10 |
: 9781107034730 |
ISBN-13 |
: 1107034736 |
Rating |
: 4/5 (30 Downloads) |
Synopsis Quantum Field Theory and the Standard Model by : Matthew D. Schwartz
A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Author |
: Edouard Brezin |
Publisher |
: World Scientific |
Total Pages |
: 1149 |
Release |
: 1993-08-31 |
ISBN-10 |
: 9789814506632 |
ISBN-13 |
: 981450663X |
Rating |
: 4/5 (32 Downloads) |
Synopsis The Large N Expansion In Quantum Field Theory And Statistical Physics by : Edouard Brezin
This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.
Author |
: Vladimir Dobrev |
Publisher |
: Springer Nature |
Total Pages |
: 552 |
Release |
: 2020-10-15 |
ISBN-10 |
: 9789811577758 |
ISBN-13 |
: 9811577757 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Lie Theory and Its Applications in Physics by : Vladimir Dobrev
This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2019. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a large interdisciplinary and interrelated field. The topics covered in this volume from the workshop represent the most modern trends in the field : Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also include Supersymmetric Calogero-type models, Quantum Groups, Deformations, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, and Exceptional Quantum Algebra for the standard model of particle physics This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.