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The Theory Of Gauge Fields In Four Dimensions
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Book Synopsis The Theory of Gauge Fields in Four Dimensions by : H. Blaine Lawson
Download or read book The Theory of Gauge Fields in Four Dimensions written by H. Blaine Lawson and published by American Mathematical Soc.. This book was released on 1985 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an examination of the work of Simon Donaldson. This book offers foundation work in gauge theory (Uhlenbeck, Taubes, Atiyah, Hitchin, Singer, et al.) which underlies Donaldson's work. It is suitable for geometric topologists and differential geometers.
Book Synopsis Classical Theory of Gauge Fields by : Valery Rubakov
Download or read book Classical Theory of Gauge Fields written by Valery Rubakov and published by Princeton University Press. This book was released on 2009-02-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.
Book Synopsis String Theory in Four Dimensions by : M. Dine
Download or read book String Theory in Four Dimensions written by M. Dine and published by Elsevier. This book was released on 2012-12-02 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``String Theory in Four Dimensions'' contains a representative collection of papers dealing with various aspects of string phenomenology, including compactifications on smooth manifolds and more general conformal field theories. Together with the lucid introduction by M. Dine, this material gives the reader a good working knowledge of our present ideas for connecting string theory to nature.
Book Synopsis Gauge Fields and Strings by : Polyakov
Download or read book Gauge Fields and Strings written by Polyakov and published by Routledge. This book was released on 2018-05-02 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.
Book Synopsis Methods of Contemporary Gauge Theory by : Yuri Makeenko
Download or read book Methods of Contemporary Gauge Theory written by Yuri Makeenko and published by Cambridge University Press. This book was released on 2002-08-15 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2002 book provides a thorough introduction to quantum theory of gauge fields, with emphasis on non-perturbative methods. Suitable as a textbook for advanced graduate courses in quantum field theory, it will also be of interest to researchers in high energy theory and condensed matter physics.
Book Synopsis Higher Spin Gauge Theories by : Brink Lars
Download or read book Higher Spin Gauge Theories written by Brink Lars and published by World Scientific. This book was released on 2016-11-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics. All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics.
Book Synopsis Gauge Theories in the Twentieth Century by : John C. Taylor
Download or read book Gauge Theories in the Twentieth Century written by John C. Taylor and published by World Scientific. This book was released on 2001 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: By the end of the 1970s, it was clear that all the known forces of nature (including, in a sense, gravity) were examples of gauge theories, characterized by invariance under symmetry transformations chosen independently at each position and each time. These ideas culminated with the finding of the W and Z gauge bosons (and perhaps also the Higgs boson). This important book brings together the key papers in the history of gauge theories, including the discoveries of: the role of gauge transformations in the quantum theory of electrically charged particles in the 1920s; nonabelian gauge groups in the 1950s; vacuum symmetry-breaking in the 1960s; asymptotic freedom in the 1970s. A short introduction explains the significance of the papers, and the connections between them. Contents: Gauge Invariance in Electromagnetism; Non-Abelian Gauge Theories; Gravity as a Gauge Theory; Gauge Invariance and Superconductivity; Spontaneous Symmetry Breaking and Particle Physics; Gauge-Fixing in Non-Abelian Gauge Theories; Gauge Identities and Unitarity; Asymptotic Freedom; Monopoles and Vortex Lines; Non-Pertubative Approaches; Instantons and Vacuum Structure; Three-Dimensional Gauge Fields and Topological Actions; Gauge Theories and Mathematics. Readership: Graduate students, researchers and lecturers in mathematical, theoretical, quantum and high energy physics, as well as historians of science.
Book Synopsis Non-Perturbative Field Theory by : Yitzhak Frishman
Download or read book Non-Perturbative Field Theory written by Yitzhak Frishman and published by Cambridge University Press. This book was released on 2010-04-08 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.
Book Synopsis Gauge Field Theories by : Mike Guidry
Download or read book Gauge Field Theories written by Mike Guidry and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquaints readers with the main concepts and literature of elementary particle physics and quantum field theory. In particular, the book is concerned with the elaboration of gauge field theories in nuclear physics; the possibility of creating fundamental new states of matter such as an extended quark-gluon plasma in ultra-relativistic heavy ion collisions; and the relation of gauge theories to the creation and evolution of the universe. Divided into three parts, it opens with an introduction to the general principles of relativistic quantum field theory followed by the essential ingredients of gauge fields for weak and electromagnetic interactions, quantum chromodynamics and strong interactions. The third part is concerned with the interface between modern elementary particle physics and "applied disciplines" such as nuclear physics, astrophysics and cosmology. Includes references and numerous exercises.
Download or read book Gauge Fields written by L. D. Faddeev and published by CRC Press. This book was released on 2018-03-05 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.
Book Synopsis New Dualities of Supersymmetric Gauge Theories by : Jörg Teschner
Download or read book New Dualities of Supersymmetric Gauge Theories written by Jörg Teschner and published by Springer. This book was released on 2015-11-17 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews a number of spectacular advances that have been made in the study of supersymmetric quantum field theories in the last few years. Highlights include exact calculations of Wilson loop expectation values, and highly nontrivial quantitative checks of the long-standing electric-magnetic duality conjectures The book starts with an introductory article presenting a survey of recent advances, aimed at a wide audience with a background and interest in theoretical physics. The following articles are written for advanced students and researchers in quantum field theory, string theory and mathematical physics, our goal being to familiarize these readers with the forefront of current research. The topics covered include recent advances in the classification and vacuum structure of large families of N=2 supersymmetric field theories, followed by an extensive discussion of the localisation method, one of the most powerful tools for exact studies of supersymmetric field theories. The quantities that have been studied in this way are partition functions, expectation values of line operators, and supersymmetric indices. The book also reviews recently discovered connections between SUSY field theories in four dimensions and two-dimensional conformal field theory. These connections have a counterpart in relations between three-dimensional gauge theories and Chern-Simons theory; the book’s closing chapters explore connections with string theory.
Book Synopsis Gauge Field Theories by : Paul H. Frampton
Download or read book Gauge Field Theories written by Paul H. Frampton and published by John Wiley & Sons. This book was released on 2008-09-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this necessary reading for cosmologists and particle astrophysicists was quickly adopted by universities and other institutions of higher learning around the world. And with the data and references updated throughout, this third edition continues to be an ideal reference on the subject. The tried-and-tested logical structuring of the material on gauge invariance, quantization, and renormalization has been retained, while the chapters on electroweak interactions and model building have been revised. Completely new is the chapter on conformality. As in the past, Frampton emphasizes formalism rather than experiments and provides sufficient detail for readers wishing to do their own calculations or pursue theoretical physics research.
Book Synopsis The Dawning of Gauge Theory by : Lochlainn O'Raifeartaigh
Download or read book The Dawning of Gauge Theory written by Lochlainn O'Raifeartaigh and published by Princeton University Press. This book was released on 1997-05-25 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions. The development has been in two stages. In the first stage (1916-1956) the geometrical significance of gauge-invariance gradually came to be appreciated and the original abelian gauge-invariance of electromagnetism was generalized to non-abelian gauge invariance. In the second stage (1960-1975) it was found that, contrary to first appearances, the non-abelian gauge-theories provided exactly the framework that was needed to describe the nuclear interactions (both weak and strong) and thus provided a universal framework for describing all known fundamental interactions. In this work, Lochlainn O'Raifeartaigh describes the former phase. O'Raifeartaigh first illustrates how gravitational theory and quantum mechanics played crucial roles in the reassessment of gauge theory as a geometric principle and as a framework for describing both electromagnetism and gravitation. He then describes how the abelian electromagnetic gauge-theory was generalized to its present non-abelian form. The development is illustrated by including a selection of relevant articles, many of them appearing here for the first time in English, notably by Weyl, Schrodinger, Klein, and London in the pre-war years, and by Pauli, Shaw, Yang-Mills, and Utiyama after the war. The articles illustrate that the reassessment of gauge-theory, due in a large measure to Weyl, constituted a major philosophical as well as technical advance.
Book Synopsis Gauge Field Theories by : J. Leite Lopes
Download or read book Gauge Field Theories written by J. Leite Lopes and published by Elsevier. This book was released on 2013-09-03 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gauge Field Theories: An Introduction covers the basic notions and principles of gauge theories. This book is composed of 10 chapters that focus on the Salam-Weinberg model of electro-weak interactions of neutrino-lepton scattering, as well as the Parton model. The first chapter is an introduction to solitons and instantons, as well as the topological quantum numbers, subjects that arose from the study of the non-linear field equations in gauge theories. The succeeding chapters deal with the concept of gravitational field, electrodynamical systems, the Yang-mills gauge fields, and the Higgs mechanism. The remaining chapters highlight the speculations on possible lepton and quark structured. These chapters present the SU(5) model of grand unification. This book will prove useful to physics university and advanced high school students.
Book Synopsis Geometrodynamics of Gauge Fields by : Eckehard W. Mielke
Download or read book Geometrodynamics of Gauge Fields written by Eckehard W. Mielke and published by Springer. This book was released on 2017-01-22 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Gauge Field Theories Theoretical Studies and Computer Simulations by : Giarczynski
Download or read book Gauge Field Theories Theoretical Studies and Computer Simulations written by Giarczynski and published by CRC Press. This book was released on 1987-06-22 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topology, Geometry and Gauge fields by : Gregory L. Naber
Download or read book Topology, Geometry and Gauge fields written by Gregory L. Naber and published by Springer Science & Business Media. This book was released on 2010-09-24 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. The reader is asked to join the author on some vague notion of what an electromagnetic field might be, to be willing to accept a few of the more elementary pronouncements of quantum mechanics, and to have a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. In return, the book offers an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1.
