New Symmetry Principles In Quantum Field Theory

Author : J. Frölich,Gerard 't Hooft,Arthur Jaffe,Gerhard Mack,Pronob K. Mitter,Raymond Stora
Publisher : Springer Science & Business Media
Page : 528 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461534723

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New Symmetry Principles in Quantum Field Theory by J. Frölich,Gerard 't Hooft,Arthur Jaffe,Gerhard Mack,Pronob K. Mitter,Raymond Stora Pdf

Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed.

Author : Ulrich Mosel
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 55,8 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662038413

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Fields, Symmetries, and Quarks by Ulrich Mosel Pdf

This revised and extended edition of the book Fields, Symmetries, and Quarks, originally published by McGraw-Hill Book Company, Hamburg, 1989, contains a new chapter on electroweak interactions which has also grown out of lectures that I have given in the meantime. In addition, a number of changes, mainly in the metric used, in the discussion of the theory of strong interactions, QCD, and in the chapter on hadron physics, have been made and errors have been corrected. The motivation for this book, however, is still the same as it was 10 years ago: This is a book on quantum field theory and our present understanding of leptons and hadrons for advanced students and the non-specialists and, in particular, the experimentalists working on problems of nuclear and hadron physics. I am grateful to Dr. S. Leupold for a very careful reading of the revised manuscript, many corrections, and helpful suggestions and to C. Traxler for producing the figures and for constructive discussions.

Author : Florian Scheck
Publisher : Springer Science & Business Media
Page : 746 pages
File Size : 52,6 Mb
Release : 2014-07-08
Category : Science
ISBN : 9783642345630

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Quantum Physics by Florian Scheck Pdf

Scheck’s Quantum Physics presents a comprehensive introductory treatment, ideally suited for a two-semester course. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertainty relations to many-body systems. Part Two introduces to relativistic quantum field theory and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises, with solutions or hints, enables the book’s use as an accompanying text for courses, and also for independent study. For both parts, the necessary mathematical framework is treated in adequate form and detail. The book ends with appendices covering mathematical fundamentals and enrichment topics, plus selected biographical notes on pioneers of quantum mechanics and quantum field theory. The new edition was thoroughly revised and now includes new sections on quantization using the path integral method and on deriving generalized path integrals for bosonic and fermionic fields.

Author : T. Fujita
Publisher : Nova Publishers
Page : 264 pages
File Size : 52,6 Mb
Release : 2006
Category : Science
ISBN : 1600212417

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Symmetry and Its Breaking in Quantum Field Theory by T. Fujita Pdf

Field theory has special complexities which may not be common to other fields of research. Symmetry and its breaking are most exotic and sometimes almost mysterious to even those who can normally understand basic physics. In this textbook, there is a focus on presenting a simple and clear picture of the symmetry and its breaking in quantum field theory.

Author : Vladimir A Miransky
Publisher : World Scientific
Page : 552 pages
File Size : 42,6 Mb
Release : 1994-02-04
Category : Science
ISBN : 9789814502665

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Dynamical Symmetry Breaking In Quantum Field Theories by Vladimir A Miransky Pdf

The phenomenon of dynamical symmetry breaking (DSB) in quantum field theory is discussed in a detailed and comprehensive way. The deep connection between this phenomenon in condensed matter physics and particle physics is emphasized. The realizations of DSB in such realistic theories as quantum chromodynamics and electroweak theory are considered. Issues intimately connected with DSB such as critical phenomenona and effective lagrangian approach are also discussed.

Author : N.N. Bogolubov,Anatoly A. Logunov,A.I. Oksak,I. Todorov
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400904910

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General Principles of Quantum Field Theory by N.N. Bogolubov,Anatoly A. Logunov,A.I. Oksak,I. Todorov Pdf

The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.

Author : Anthony G. Williams
Publisher : Cambridge University Press
Page : 794 pages
File Size : 50,5 Mb
Release : 2022-07-31
Category : Science
ISBN : 9781108600873

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Introduction to Quantum Field Theory by Anthony G. Williams Pdf

This textbook offers a detailed and uniquely self-contained presentation of quantum and gauge field theories. Writing from a modern perspective, the author begins with a discussion of advanced dynamics and special relativity before guiding students steadily through the fundamental principles of relativistic quantum mechanics and classical field theory. This foundation is then used to develop the full theoretical framework of quantum and gauge field theories. The introductory, opening half of the book allows it to be used for a variety of courses, from advanced undergraduate to graduate level, and students lacking a formal background in more elementary topics will benefit greatly from this approach. Williams provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. Worked examples are included throughout the text and end-of-chapter problems help students to reinforce key concepts. A fully worked solutions manual is available online for instructors.

Author : Roberto Casalbuoni
Publisher : World Scientific Publishing Company
Page : 380 pages
File Size : 43,5 Mb
Release : 2017-04-06
Category : Electronic
ISBN : 9789813146686

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Introduction to Quantum Field Theory by Roberto Casalbuoni Pdf

This book deals with quantum field theory, the language of modern elementary particles physics. Based on university lectures given by the author, this volume provides a detailed technical treatment of quantum field theory that is particularly useful for students; it begins with the quantization of the most important free fields, the scalar, the spin-1/2 and the photon fields, and is then followed by a detailed account of symmetry properties, including a discussion on global and local symmetries and the spontaneous breaking of symmetries. Perturbation theory, one-loop effects for quantum electrodynamics, and renormalization properties are also covered. In this second edition new chapters have been introduced with a general description of path integral quantization both on quantum mechanics and in quantum field theory, with a particular attention to the gauge fields. The path integral quantization of Fermi fields is also discussed. Request Inspection Copy

Author : Jan T. ?opusza?ski
Publisher : World Scientific
Page : 400 pages
File Size : 46,6 Mb
Release : 1991
Category : Science
ISBN : 9971501619

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An Introduction to Symmetry and Supersymmetry in Quantum Field Theory by Jan T. ?opusza?ski Pdf

This is a set of lecture notes given by the author at the Universities of G”ttingen and Wroclaw. The text presents the axiomatic approach to field theory and studies in depth the concepts of symmetry and supersymmetry and their associated generators, currents and charges. It is intended as a one-semester course for graduate students in the field of mathematical physics and high energy physics.

Author : Luciano Fonda,G. C. Ghirardi
Publisher : Unknown
Page : 538 pages
File Size : 54,6 Mb
Release : 1970
Category : Science
ISBN : MINN:319510005572857

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Symmetry Principles in Quantum Physics by Luciano Fonda,G. C. Ghirardi Pdf

Author : Michael E. Peskin
Publisher : CRC Press
Page : 866 pages
File Size : 40,8 Mb
Release : 2018-05-04
Category : Science
ISBN : 9780429983184

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An Introduction To Quantum Field Theory by Michael E. Peskin Pdf

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 : Katherine Brading,Elena Castellani
Publisher : Cambridge University Press
Page : 459 pages
File Size : 47,8 Mb
Release : 2003-12-04
Category : Science
ISBN : 9781139442022

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Symmetries in Physics by Katherine Brading,Elena Castellani Pdf

This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.

Author : Luis Alvarez-Gaumé,Miguel A. Vázquez-Mozo
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 51,6 Mb
Release : 2011-11-26
Category : Science
ISBN : 9783642237270

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An Invitation to Quantum Field Theory by Luis Alvarez-Gaumé,Miguel A. Vázquez-Mozo Pdf

This book provides an introduction to Quantum Field Theory (QFT) at an elementary level—with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework.

Author : Laurent Baulieu,John Iliopoulos,Roland Seneor,Roland Sénéor
Publisher : Oxford University Press
Page : 951 pages
File Size : 43,6 Mb
Release : 2017
Category : Science
ISBN : 9780198788393

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From Classical to Quantum Fields by Laurent Baulieu,John Iliopoulos,Roland Seneor,Roland Sénéor Pdf

Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.

Author : Anthony Duncan
Publisher : Oxford University Press
Page : 128 pages
File Size : 46,9 Mb
Release : 2012-08-09
Category : Science
ISBN : 9780191642203

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The Conceptual Framework of Quantum Field Theory by Anthony Duncan Pdf

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.