Perturbative Quantum Electrodynamics And Axiomatic Field Theory
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Perturbative Quantum Electrodynamics And Axiomatic Field Theory
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Author : Othmar Steinmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Perturbative Quantum Electrodynamics And Axiomatic Field Theory written by Othmar Steinmann 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 2013-04-17 with Computers categories.
This book is concerned with relativistic quantum field theory, especially QED, its most successful example. It is set in the no-man's land between the math ematically rigorous but numerically barren general field theory of the math ematical physicist and the computationally fertile but mathematically some times adventurous field theory of the more phenomenologically inclined, and it aims at demonstrating that closer contact between these two disparate cultures may be of benefit to both. Perturbative QED serves as an exam ple. It is shown how the rules of perturbative quantum field theory, one of the major tools of phenomenology, can be derived from well-defined general assumptions in a mathematically clean way, in particular, not using any reg ularizations. Special emphasis is placed on giving the infrared problem its full due. This leads, among other things, to an unorthodox method based on the local-observables approach to field theory, of describing particles and their reactions. The resulting scattering formalism is immediately applica ble to the infraparticle situation of QED by directly yielding expressions for the observable-inclusive cross sections, dispensing with the notion of an S matrix. Interestingly enough, these expressions differ somewhat from those of the conventional approach. This point will hopefully give rise to interesting and fruitful discussions. I have been working on these sorts of problems on and off for a long time.
Quantum Field Theory Ii Quantum Electrodynamics
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Author : Eberhard Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-03
Quantum Field Theory Ii Quantum Electrodynamics written by Eberhard Zeidler 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 2008-09-03 with Mathematics categories.
And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.
Perturbative Algebraic Quantum Field Theory
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Author : Kasia Rejzner
language : en
Publisher: Springer
Release Date : 2016-03-31
Perturbative Algebraic Quantum Field Theory written by Kasia Rejzner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-31 with Science categories.
Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.
From Classical Field Theory To Perturbative Quantum Field Theory
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Author : Michael Dütsch
language : en
Publisher: Springer
Release Date : 2019-03-18
From Classical Field Theory To Perturbative Quantum Field Theory written by Michael Dütsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-18 with Mathematics categories.
This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.
An Introduction To Quantum Field Theory
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Author : Michael E. Peskin
language : en
Publisher: CRC Press
Release Date : 2018-05-04
An Introduction To Quantum Field Theory written by Michael E. Peskin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Science categories.
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.
Modern Quantum Field Theory
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Author : Tom Banks
language : en
Publisher: Cambridge University Press
Release Date : 2008-09-18
Modern Quantum Field Theory written by Tom Banks and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-18 with Science categories.
Presenting a variety of topics that are only briefly touched on in other texts, this book provides a thorough introduction to the techniques of field theory. Covering Feynman diagrams and path integrals, the author emphasizes the path integral approach, the Wilsonian approach to renormalization, and the physics of non-abelian gauge theory. It provides a thorough treatment of quark confinement and chiral symmetry breaking, topics not usually covered in other texts at this level. The Standard Model of particle physics is discussed in detail. Connections with condensed matter physics are explored, and there is a brief, but detailed, treatment of non-perturbative semi-classical methods. Ideal for graduate students in high energy physics and condensed matter physics, the book contains many problems,which help students practise the key techniques of quantum field theory.
Theory Of Interacting Quantum Fields
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Author : Alexei L. Rebenko
language : en
Publisher: Walter de Gruyter
Release Date : 2012-07-04
Theory Of Interacting Quantum Fields written by Alexei L. Rebenko and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-04 with Mathematics categories.
This monograph is devoted to the systematic presentation of foundations of the quantum field theory. Unlike numerous monographs devoted to this topic, a wide range of problems covered in this book are accompanied by their sufficiently clear interpretations and applications. An important significant feature of this monograph is the desire of the author to present mathematical problems of the quantum field theory with regard to new methods of the constructive and Euclidean field theory that appeared in the last thirty years of the 20th century and are based on the rigorous mathematical apparatus of functional analysis, the theory of operators, and the theory of generalized functions. The monograph is useful for students, post-graduate students, and young scientists who desire to understand not only the formality of construction of the quantum field theory but also its essence and connection with the classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of path integral formalism.
Approaches To Fundamental Physics
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Author : Ion-Olimpiu Stamatescu
language : en
Publisher: Springer
Release Date : 2007-09-28
Approaches To Fundamental Physics written by Ion-Olimpiu Stamatescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-28 with Science categories.
This book represents in the ?rst place the desire of the authors of the various contributions to enter a discussion about the research landscape of prese- day fundamental theoretical physics. It documents their attempt, out of their highly specialized scienti?c positions, to ?nd a way of communicating about methods, achievements, and promises of the di?erent approacheswhich shape the development of this ?eld. It is therefore also an attempt to bring out the connections between these approaches, and present them not as disjoint ventures but rather as facets of a common quest for understanding. Whether in competition to each other or in collaboration, the ‘many-fold ways’ of contemporary physics are characterized by a number of exciting ?ndings (and questions) which appear more and more interrelated. Moreover, in the historical development of science, the steadily arriving new empi- cal information partly supports, partly contradicts the existing theories, and partly brings forth unexpected results forcing a total reorientationupon us. If we are lucky, the beginning of this century may prove to be as grand as that of the last one. Itisnotaneasytaskinasituationsomuchinmovementandinwhich variousapproachesstriveforcompletion,topromoteaconstructiveinteraction between these and to achieve a level of mutual understanding on which such an interaction can be fruitful. Nearly all of the authors contributing to this book have been participating in a working group dedicated exactly to this task; this group met in many sessions over several years. This book is to a large extent the result of these discussions.
Quantum Mechanics And Nonlinear Waves
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Author : Philip Barnes Burt
language : en
Publisher: CRC Press
Release Date : 1981
Quantum Mechanics And Nonlinear Waves written by Philip Barnes Burt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.
Concepts And Results In Chaotic Dynamics A Short Course
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Author : Pierre Collet
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-07
Concepts And Results In Chaotic Dynamics A Short Course written by Pierre Collet 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 2007-07-07 with Mathematics categories.
The study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding detailed proofs in exchange for numerous illustrations and examples. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.