Progress In Gauge Field Theory

Author : G. 't Hooft,A. Jaffe,G. Lehmann,P.K. Mitter,I.M. Singer
Publisher : Springer Science & Business Media
Page : 606 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781475702804

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Progress in Gauge Field Theory by G. 't Hooft,A. Jaffe,G. Lehmann,P.K. Mitter,I.M. Singer Pdf

The importance of gauge theory for elementary particle physics is by now firmly established. Recent experiments have yielded convincing evidence for the existence of intermediate bosons, the carriers of the electroweak gauge force, as well as for the presence of gluons, the carriers of the strong gauge force, in hadronic interactions. For the gauge theory of strong interactions, however, a number of important theoretical problems remain to be definitely resolved. They include the quark confinement problem, the quantitative study of the hadron mass spectrum as well as the role of topology in quantum gauge field theory. These problems require for their solution the development and application of non-perturbative methods in quantum gauge field theory. These problems, and their non-perturbative analysis, formed the central interest of the 1983 Cargese summer institute on "Progress in Gauge Field Theory. " In this sense it was a natural sequel to the 1919 Cargese summer institute on "Recent Developments in Gauge Theories. " Lattice gauge theory provides a systematic framework for the investigation of non-perturbative quantum effects. Accordingly, a large number of lectures dealt with lattice gauge theory. Following a systematic introduction to the subject, the renormalization group method was developed both as a rigorous tool for fundamental questions, and in the block-spin formulation, the computations by Monte Carlo programs. A detailed analysis was presented of the problems encountered in computer simulations. Results obtained by this method on the mass spectrum were reviewed.

Author : Anastasios Mallios
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 46,8 Mb
Release : 2006-07-27
Category : Mathematics
ISBN : 9780817644741

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Modern Differential Geometry in Gauge Theories by Anastasios Mallios Pdf

This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable

Author : M. Chaichian,N. F. Nelipa
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642821776

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Introduction to Gauge Field Theories by M. Chaichian,N. F. Nelipa Pdf

In recent years, gauge fields have attracted much attention in elementary par ticle physics. The reason is that great progress has been achieved in solving a number of important problems of field theory and elementary particle physics by means of the quantum theory of gauge fields. This refers, in particular, to constructing unified gauge models and theory of strong interactions between the elementary particles. This book expounds the fundamentals of the quantum theory of gauge fields and its application for constructing unified gauge models and the theory of strong interactions. In writing the book, the authors' aim was three-fold: firstly, to outline the basic ideas underlying the unified gauge models and the theory of strong inter actions; secondly, to discuss the major unified gauge models, the theory of strong interactions and their experimental implications; and, thirdly, to acquaint the reader with a rather special mathematical approach (path-in tegral method) which has proved to be well suited for constructing the quantum theory of gauge fields. Gauge fields are a vigorously developing area. In this book, we have select ed for presentation the more or less traditional and commonly accepted mate rial. There also exist a number of different approaches which are presently being developed. The most important of them are touched upon in the Conclusion.

Author : Steffen Gielen,Sylvain Carrozza,Daniele Oriti
Publisher : MDPI
Page : 338 pages
File Size : 48,8 Mb
Release : 2020-07-01
Category : Mathematics
ISBN : 9783039361786

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Progress in Group Field Theory and Related Quantum Gravity Formalisms by Steffen Gielen,Sylvain Carrozza,Daniele Oriti Pdf

Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.

Author : Gabriella Tarantello
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 53,6 Mb
Release : 2008-04-16
Category : Science
ISBN : 9780817646080

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Selfdual Gauge Field Vortices by Gabriella Tarantello Pdf

This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices.

Author : J. Ambjorn,B.J. Durhuus,J.L. Petersen
Publisher : Elsevier
Page : 307 pages
File Size : 53,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598394

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Recent Developments in Quantum Field Theory by J. Ambjorn,B.J. Durhuus,J.L. Petersen Pdf

Theoretical particle physicists discuss the present status and, in particular, the latest developments in quantum field theory, in their broadest aspects. This volume contains the main lectures presented at the symposium and reflects the contemporary status of a line of development, one of whose initiators was Niels Bohr.

Author : Ta-Pei Cheng,Ling-Fong Li
Publisher : Oxford University Press
Page : 549 pages
File Size : 51,8 Mb
Release : 1994-08-02
Category : Science
ISBN : 9780192652249

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Gauge Theory of Elementary Particle Physics by Ta-Pei Cheng,Ling-Fong Li Pdf

This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up by many illustrative examples. Derivations, some of well known results, are presented in sufficient detail to make the text accessible to readers entering the field for the first time. The book focuses on the strong interaction theory of quantum chromodynamics and the electroweak interaction theory of Glashow, Weinberg, and Salam, as well as the grand unification theory, exemplified by the simplest SU(5) model. Not intended as an exhaustive survey, the book nevertheless provides the general background necessary for a serious student who wishes to specialize in the field of elementary particle theory. Physicists with an interest in general aspects of gauge theory will also find the book highly useful.

Author : Ian J R Aitchison,Anthony J.G. Hey
Publisher : CRC Press
Page : 524 pages
File Size : 55,9 Mb
Release : 2012-12-17
Category : Science
ISBN : 9781466513075

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Gauge Theories in Particle Physics: A Practical Introduction, Volume 2: Non-Abelian Gauge Theories by Ian J R Aitchison,Anthony J.G. Hey Pdf

Volume 2 of this revised and updated edition provides an accessible and practical introduction to the two non-Abelian quantum gauge field theories of the Standard Model of particle physics: quantum chromodynamics (QCD) and the Glashow-Salam-Weinberg (GSW) electroweak theory. This volume covers much of the experimental progress made in the last ten years. A new chapter on CP violation and oscillation phenomena describes CP violation in B-meson decays as well as the main experiments that have led to our current knowledge of mass-squared differences and mixing angles in neutrino physics. Exploring a new era in particle physics, this edition discusses one of the most recent and exciting breakthroughs—the discovery of a boson with properties consistent with those of the Standard Model Higgs boson. It also updates many other topics, including jet algorithms, lattice QCD, effective Lagrangians, and three-generation quark mixing and the CKM matrix. New to the Fourth Edition New chapter on CP violation and oscillations in mesonic and neutrino systems New section on three-generation quark mixing and the CKM matrix Improved discussion of two-jet cross section in electron-positron annihilation New section on jet algorithms Recent lattice QCD calculations with dynamical fermions New section on effective Lagrangians for spontaneously broken chiral symmetry, including the three-flavor extension, meson mass relations, and chiral perturbation theory Update of asymptotic freedom Discussion of the historic discovery of a Higgs-like boson The authors discuss the main conceptual points of the theories, detail many practical calculations of physical quantities from first principles, and compare these quantitative predictions with experimental results, helping readers improve both their calculation skills and physical insight.

Author : Koichi Yamawaki,Masayasu Harada,Y Kikukawa
Publisher : World Scientific
Page : 444 pages
File Size : 47,8 Mb
Release : 2003-08-12
Category : Science
ISBN : 9789814485548

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Strong Coupling Gauge Theories And Effective Field Theories, Proceedings Of The 2002 International Workshop by Koichi Yamawaki,Masayasu Harada,Y Kikukawa Pdf

This volume presents the important recent progress in both theoretical and phenomenological issues of strong coupling gauge theories, with/without supersymmetry and extra dimensions, etc. Emphasis is placed on dynamical symmetry breaking with large anomalous dimensions governed by the dynamics near the nontrivial fixed point. Also presented are recent developments of the corresponding effective field theories, such as those including light spectra other than the Nambu-Goldstone particles.This book is a must for all those who are interested in dynamical symmetry breaking and effective field theories in a modern version.

Author : L. Baulieu,Eliezer Rabinovici,Jeff Harvey,Boris Pioline,Paul Windey
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401002110

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Progress in String, Field and Particle Theory by L. Baulieu,Eliezer Rabinovici,Jeff Harvey,Boris Pioline,Paul Windey Pdf

The NATO Advanced Study Institute and EC Summer School "Progress in String Field and Particle Theory" was held in Cargse from June 25th till July 11th 2002. The main focus of the school was the recent progress in the very ac tive areas of superstring theory, quantum gravity and the theory of elementary particles. It covered topical problems in domains such as duality between gravity and gaugeinteractions, string field theory, tachyon condensation, non-commutative field theory, string cosmology and string phenomenology. The School featured daily introductory lectures and topical seminars. An informal Gong Show session allowed young post-doctoral researchers and senior graduate students to make a concise presentation oftheir current work. The School gave an excellent opportunity to the youngest researchers to establish a close relationship with their seniors and with the lecturers. These proceedings will further serve in fixing the acquired knowledge, and hopefully, become a useful reference for anyone working in this fascinating do main of physics. Some of the contributions provide an elementary introduction to their subject, while other ones are more geared to the specialist. We are deeply indebted to the NATO Division for Scientific Affairs for funding, and for their constant attention for our meetings, and to the European Commission for a High-Level Scientific Conference grant HPCFCT 2001-00298.

Author : Ian J.R. Aitchison,Anthony J.G. Hey
Publisher : CRC Press
Page : 979 pages
File Size : 53,9 Mb
Release : 2021-01-14
Category : Science
ISBN : 9781466591127

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Gauge Theories in Particle Physics: A Practical Introduction, Fourth Edition - 2 Volume set by Ian J.R. Aitchison,Anthony J.G. Hey Pdf

The fourth edition of this well-established, highly regarded two-volume set continues to provide a fundamental introduction to advanced particle physics while incorporating substantial new experimental results, especially in the areas of CP violation and neutrino oscillations. It offers an accessible and practical introduction to the three gauge theories included in the Standard Model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the Glashow-Salam-Weinberg (GSW) electroweak theory. In the first volume, a new chapter on Lorentz transformations and discrete symmetries presents a simple treatment of Lorentz transformations of Dirac spinors. Along with updating experimental results, this edition also introduces Majorana fermions at an early stage, making the material suitable for a first course in relativistic quantum mechanics. Covering much of the experimental progress made in the last ten years, the second volume remains focused on the two non-Abelian quantum gauge field theories of the Standard Model: QCD and the GSW electroweak theory. A new chapter on CP violation and oscillation phenomena describes CP violation in B-meson decays as well as the main experiments that have led to our current knowledge of mass-squared differences and mixing angles for neutrinos. Exploring a new era in particle physics, this edition discusses the exciting discovery of a boson with properties consistent with those of the Standard Model Higgs boson. It also updates many other topics, including jet algorithms, lattice QCD, effective Lagrangians, and three-generation quark mixing and the CKM matrix. This revised and updated edition provides a self-contained pedagogical treatment of the subject, from relativistic quantum mechanics to the frontiers of the Standard Model. For each theory, the authors discuss the main conceptual points, detail many practical calculations of physical quantities from first principles, and compare these quantitative predictions with experimental results, helping readers improve both their calculation skills and physical insight.

Author : M. Levy
Publisher : Springer Science & Business Media
Page : 474 pages
File Size : 50,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781461589181

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New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976 by M. Levy Pdf

The 1976 Cargese Summer Institute was devoted to the study of certain exciting developments in quantum field theory and critical phenomena. Its genesis occurred in 1974 as an outgrowth of many scientific discussions amongst the undersigned, who decided to form a scientific committee for the organization of the school. On the one hand, various workers in quantum field theory were continuing to make startling progress in different directions. On the other hand, many new problems were arising from these various domains. Thus we feIt that 1976 might be an appropriate occasion both to review recent developments and to encourage interactions between researchers from different backgrounds working on a common set of unsolved problems. An important aspect of the school, as it took place, was the participation of and stimulating interaction between such a broad spectrum of theorists. The central topics of the school were chosen from the areas of solitons, phase transitions, critical behavior, the renormalization group, gauge fields and the analysis of nonrenormalizable field theories. A noteworthy feature of these topics is the interpene tration of ideas from quantum field theory and statistical mechanics whose inherent unity is seen in the functional integral formulation of quantum field theory. The actual lectures were partly in the form of tutorials designed to familiarize the participants with re cent progress on the main topics of the school. Others were in the form of more specialized seminars reporting on recent research.

Author : M Carmeli,Kh Huleihil,E Leibowitz
Publisher : World Scientific
Page : 148 pages
File Size : 48,8 Mb
Release : 1989-02-01
Category : Science
ISBN : 9789814518857

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Gauge Fields: Classification and Equations of Motion by M Carmeli,Kh Huleihil,E Leibowitz Pdf

This volume reviews the most recent progress on new exact solutions of the Yang-Mills SU(2) gauge field equations. In order to have a better understanding of the physical meaning of the Yang-Mills fields, the motion of a particle in these fields, first in general and then, in particular fields were discussed. Contents:IntroductionThe Yang-Mills Field Equations and the Null-Tetrad MethodClassification of the Yang-Mills FieldsStatic Solutions of the Sourceless Yang-Mills Field EquationsClassification of Gauge Fields — ApplicationExact Solutions of the Yang-Mills Field EquationsThe Motion of a Test Particle in Classical Yang-Mills FieldsSummary and Concluding Remarks Readership: High energy physicists, mathematical physicists and mathematicians. Keywords:Yang-Mills Fields;Yang-Mills Field Equations;Eigenspinor-Eigenvalue Method;Electromagnetic Field ;Carmeli Field;Morris Field;Gauge Fields;Null Tetrads;Lorentz Invariance;Gauge Invariance

Author : Yongmin Cho,Miguel Angel Virasoro
Publisher : World Scientific
Page : 416 pages
File Size : 47,6 Mb
Release : 1998-09-28
Category : Science
ISBN : 9789814544542

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Recent Developments In Nonperturbative Quantum Field Theory: Proceedings Of The Apctp-ictp Joint International Conf by Yongmin Cho,Miguel Angel Virasoro Pdf

Author : Eckehard W. Mielke
Publisher : Springer
Page : 377 pages
File Size : 49,7 Mb
Release : 2017-01-22
Category : Science
ISBN : 9783319297347

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Geometrodynamics of Gauge Fields by Eckehard W. Mielke Pdf

This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.