Scattering In Quantum Field Theories
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Scattering In Quantum Field Theories
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Author : Daniel Iagolnitzer
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14
Scattering In Quantum Field Theories written by Daniel Iagolnitzer and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Science categories.
Axiomatic and constructive approaches to quantum field theory first aim to establish it on precise, non-perturbative bases: general axioms and rigorous definition of specific theories respectively. From the viewpoint of particle physics, the goal is then to develop a relativistic scattering theory, including particle analysis and the derivation of general properties of collision amplitudes. Taking into account successive improvements, this book provides a modern, self-contained, and coherent presentation of important developments from the last twenty years, most of which have not been treated or discussed in detail in earlier books. These developments include in particular the axiomatic derivation, in massive theories, of general causal and momentum-space analyticity properties of multiparticle collision amplitudes; the constructive definition, initially in the (unphysical) euclidean space, of various models including non-super-renormalizable theories treated in the 1980s via phase-space expansions; and the subsequent constructive approach to scattering theory, which provides information on the mass spectrum, asymptotic completeness, and multiparticle structure in increasingly higher energy regions. Originally published in 1993. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Spectral Methods In Quantum Field Theory
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Author : Noah Graham
language : en
Publisher: Springer
Release Date : 2009-08-29
Spectral Methods In Quantum Field Theory written by Noah Graham and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Science categories.
In this monograph we apply scattering theory methods to calculations in quantum ?eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e?cient and reliable solutions to a - riety of problems in quantum ?eld theory. Our approach will also elucidate in a concrete context many of the subtleties of quantum ?eld theory, such as divergences, regularization, and renormalization, by connecting them to more familiar results in quantum mechanics. We will use tools of scattering theory to characterize the spectrum of energyeigenstatesinapotentialbackground,hencethetermspectralmethods. This mode spectrum comprises both discrete bound states and a continuum of scattering states. We develop a powerful formalism that parameterizes the e?ects of the continuum by the density of states, which we compute from scattering data. Summing the zero-point energies of these modes gives the energy of the quantum vacuum, which is one of the central quantities we study.Althoughthemostcommonlystudiedbackgroundpotentialsarisefrom static soliton solutions to the classical equations of motion, these methods are not limited to such cases.
Scattering Amplitudes In Quantum Field Theory
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Author : Simon Badger
language : en
Publisher: Springer Nature
Release Date : 2024-02-01
Scattering Amplitudes In Quantum Field Theory written by Simon Badger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-01 with Science categories.
This open access book bridges a gap between introductory Quantum Field Theory (QFT) courses and state-of-the-art research in scattering amplitudes. It covers the path from basic definitions of QFT to amplitudes, which are relevant for processes in the Standard Model of particle physics. The book begins with a concise yet self-contained introduction to QFT, including perturbative quantum gravity. It then presents modern methods for calculating scattering amplitudes, focusing on tree-level amplitudes, loop-level integrands and loop integration techniques. These methods help to reveal intriguing relations between gauge and gravity amplitudes and are of increasing importance for obtaining high-precision predictions for collider experiments, such as those at the Large Hadron Collider, as well as for foundational mathematical physics studies in QFT, including recent applications to gravitational wave physics.These course-tested lecture notes include numerous exercises with solutions. Requiring only minimal knowledge of QFT, they are well-suited for MSc and PhD students as a preparation for research projects in theoretical particle physics. They can be used as a one-semester graduate level course, or as a self-study guide for researchers interested in fundamental aspects of quantum field theory.
A Theory Of Scattering For Quasifree Particles
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Author : Raymond F Streater
language : en
Publisher: World Scientific
Release Date : 2014-07-31
A Theory Of Scattering For Quasifree Particles written by Raymond F Streater and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-31 with Science categories.
In this book, the author presents the theory of quasifree quantum fields and argues that they could provide non-zero scattering for some particles. The free-field representation of the quantised transverse electromagnetic field is not closed in the weak*-topology. Its closure contains soliton–anti-soliton pairs as limits of two-photon states as time goes to infinity, and the overlap probability can be computed using Uhlmann's prescription. There are no free parameters: the probability is determined with no requirement to specify any coupling constant. All cases of the Shale transforms of the free field ϕ of the form ϕ→ϕ+φ, where φ is not in the one-particle space, are treated in the book. There remain the cases of the Shale transforms of the form ϕ → Tϕ, where T is a symplectic map on the one-particle space, not near the identity. Contents: IntroductionHaag–Kastler FieldsRepresentations of the Poincaré GroupThe Maxwell Field Some Theory of RepresentationsEuclidean ElectrodynamicsModelsConclusion Readership: Graduate students and professional in particle and mathematical physics. Key Features:There are no competing titles for this bookKeywords:Relativistic Quasifree Representation of Transverse Electromagnetic Field;Quasi-Free Scattering;Quantum Scattering;Relativistic Quantum Field Theory;Quasi-Free Quantum Field Theory;C*-Algebra;Euclidean Electrodynamics;Haag-Ruelle Theory;Haag-Kastler Axioms;Segal-Bargmann Transform;Shale Transformation
Scattering Amplitudes In Gauge Theories
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Author : Johannes M. Henn
language : en
Publisher: Springer
Release Date : 2014-02-11
Scattering Amplitudes In Gauge Theories written by Johannes M. Henn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-11 with Science categories.
At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computed using Feynman diagrams. In the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach. These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simpler than anticipated and hidden patterns emerge. These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory. Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications. The numerous exercises and solutions included will help readers to embrace and apply the material presented in the main text.
Gauge Theories In Particle Physics
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Author : I.J.R. Aitchison
language : en
Publisher: CRC Press
Release Date : 2002-09-01
Gauge Theories In Particle Physics written by I.J.R. Aitchison and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-01 with Science categories.
Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results. For this two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. Substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons, and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth year courses. Since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended so as to provide a uniquely accessible and self-contained introduction to quantum field dynamics, as described by Feynman graphs. The level is suitable for advanced fourth year undergraduates and first year graduates. These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED; the second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis.
Spectral Methods In Quantum Field Theory
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Author : Noah Graham
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-08
Spectral Methods In Quantum Field Theory written by Noah Graham and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-08 with Science categories.
In this monograph we apply scattering theory methods to calculations in quantum ?eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e?cient and reliable solutions to a - riety of problems in quantum ?eld theory. Our approach will also elucidate in a concrete context many of the subtleties of quantum ?eld theory, such as divergences, regularization, and renormalization, by connecting them to more familiar results in quantum mechanics. We will use tools of scattering theory to characterize the spectrum of energyeigenstatesinapotentialbackground,hencethetermspectralmethods. This mode spectrum comprises both discrete bound states and a continuum of scattering states. We develop a powerful formalism that parameterizes the e?ects of the continuum by the density of states, which we compute from scattering data. Summing the zero-point energies of these modes gives the energy of the quantum vacuum, which is one of the central quantities we study.Althoughthemostcommonlystudiedbackgroundpotentialsarisefrom static soliton solutions to the classical equations of motion, these methods are not limited to such cases.
Scattering Amplitudes In Quantum Field Theory
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Author : Simon Badger
language : en
Publisher:
Release Date : 2024
Scattering Amplitudes In Quantum Field Theory written by Simon Badger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematical physics categories.
Introduction and Foundations -- On-shell Techniques for Tree-level Amplitudes -- Loop Integrands and Amplitudes -- Loop Integration Techniques and Special Functions -- Solutions to the Exercises. .
Towards Infrared Finite S Matrix In Quantum Field Theory
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Author : Hayato Hirai
language : en
Publisher: Springer Nature
Release Date : 2021-07-17
Towards Infrared Finite S Matrix In Quantum Field Theory written by Hayato Hirai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-17 with Science categories.
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.
Relativistic Quantum Field Theory Volume 3
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Author : Michael Strickland
language : en
Publisher:
Release Date : 2019-11-15
Relativistic Quantum Field Theory Volume 3 written by Michael Strickland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-15 with categories.
Volume 3 of this three-part series presents more advanced topics and applications of relativistic quantum field theory. The application of quantum chromodynamics to high-energy particle scattering is discussed with concrete examples for how to compute QCD scattering cross sections. Experimental evidence for the existence of quarks and gluons is then presented within the context of the naive quark model and beyond. In addition the text reviews our current understanding of the weak interaction, unified electroweak theory and the Brout-Higgs-Englert mechanism for the generation of gauge boson masses. The last two chapters contain a self-contained introduction to finite temperature quantum field theory with concrete examples focusing on the high-temperature thermodynamics of scalar field theories, QED and QCD.