Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Quantum Topology And Global Anomalies
Download Quantum Topology And Global Anomalies full books in PDF, epub, and Kindle. Read online Quantum Topology And Global Anomalies ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Quantum Topology and Global Anomalies by : R A Baadhio
Download or read book Quantum Topology and Global Anomalies written by R A Baadhio and published by World Scientific. This book was released on 1996-09-03 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anomalies are ubiquitous features in quantum field theories. They can ruin the consistency of such theories and put significant restrictions on their viability, especially in dimensions higher than four. Global gauge and gravitational anomalies are to date, one of the scant powerful and probing tools available to physicists in the pursuit of uniqueness. This monograph is one of the very few that specializes in the study of global anomalies in quantum field theories. A discussion of various issues associated to three dimensional physics — the Chern–Simons–Witten theories — widen the scope of this book. Topics discussed here comprises: the ongoing quest for three-manifolds invariant, the role of the mapping class groups in (a) the detection and cancellation of global anomalies, (b) formulating three-manifolds invariant; the geometric quantization of Chern-Simons-Witten theories; deformation quantization; study of chiral and gravitational anomalies; anomalies and the Atiyah-Patodi-Singer Index theorem; exotic spheres; global gravitational anomalies in some six and ten dimensional supergravity and superstring theories, with an additional case study of Witten SU(2) Global Gauge Anomalies. In addition, five chapters lay out the mathematical basis for a thorough use of the topics above. One chapter focuses on the relationship between Teichmüller spaces, moduli spaces and mapping class groups. Another chapter is devoted to mapping class groups and arithmetic groups. Gauge theories on Riemann surfaces are studies in well over two chapters, the first one centered on the theory of bundles and the second on connections. Many readers will find this a useful book, especially theoretical physicists and mathematicians. The material presented here will be of interest to both the experts who will find complete, detailed and precise descriptions of important topics of current interest in mathematical physics, and to students and newcomers to the field, who will appreciate the vast amount of information provided here, especially on global anomalies. Contents:The Ongoing Quest for Three-Manifold InvariantsMapping Class Groups and 3-Manifold InvariantsTeichmüller Spaces and Mapping Class GroupsMapping Class Groups and Arithmetic GroupsWeil-Petersson Geometry of Teichmüller SpacesGauge Theories on Riemann Surfaces I: BundlesGauge Theories on Riemann Surfaces II: ConnectionsGeometric Quantization of Chern–Simons–Witten TheoriesDeformation QuantizationChiral and Gravitational AnomaliesAnomalies and the Index TheoremGlobal AnomaliesMapping Class Groups and Global AnomaliesExotic Spheres Readership: Mathematicians and physicists. keywords:
Author :Randy A. Baadhio Publisher :World Scientific Publishing Company Incorporated ISBN 13 :9789810227272 Total Pages :270 pages Book Rating :4.2/5 (272 download)
Book Synopsis Quantum Topology and Global Anomalies by : Randy A. Baadhio
Download or read book Quantum Topology and Global Anomalies written by Randy A. Baadhio and published by World Scientific Publishing Company Incorporated. This book was released on 1996-01-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Anomalies and Quantum Topology by : R A. Baddhio
Download or read book Global Anomalies and Quantum Topology written by R A. Baddhio and published by . This book was released on 2007-12-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Topology by : Louis H Kauffman
Download or read book Quantum Topology written by Louis H Kauffman and published by World Scientific. This book was released on 1993-09-15 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the 1984/1985 discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of quantum field theory into the subject and the formulation by Witten and Michael Atiyah of the concept of topological quantum field theories. This book is a review volume of on-going research activity. The papers derive from talks given at the Special Session on Knot and Topological Quantum Field Theory of the American Mathematical Society held at Dayton, Ohio in the fall of 1992. The book consists of a self-contained article by Kauffman, entitled Introduction to Quantum Topology and eighteen research articles by participants in the special session. This book should provide a useful source of ideas and results for anyone interested in the interface between topology and quantum field theory. Contents:Introduction to Quantum Topology (L H Kauffman)Knot Theory, Exotic Spheres and Global Gravitational Anomalies (R A Baadhio)A Diagrammatic Theory of Knotted Surfaces (J S Carter & M Saito)A Categorical Construction of 4D Topological Quantum Field Theories (L Crane & D Yetter)Evaluating the Crane-Yetter Invariant (L Crane, L H Kauffman & D Yetter)A Method for Computing the Arf Invariants of Links (P Gilmer)Triangulations, Categories and Extended Topological Field Theories (R J Lawrence)The Casson Invariant for Two-Fold Branched Covers of Links (D Mullins)Elementary Conjectures in Classical Knot Theory (J H Przytycki)Knot Polynomials as States of Nonperturbative Four Dimensional Quantum Gravity (J Pullin)On Invariants of 3-Manifolds Derived from Abelian Groups (J Mattes, M M Polyak & N Reshetikhin)and other papers Readership: Mathematicians and mathematical physicists. keywords:Quantum Topology;Topological Quantum Field Theory;Meeting;AMS Special Session;Dayton, OH (USA)
Book Synopsis Anomalies in Quantum Field Theory by : Reinhold A. Bertlmann
Download or read book Anomalies in Quantum Field Theory written by Reinhold A. Bertlmann and published by Oxford University Press. This book was released on 2000-11-02 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the different aspects of the study of anomalies. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. It includes derivations and calculations
Book Synopsis Quantum Topology by : Louis H. Kauffman
Download or read book Quantum Topology written by Louis H. Kauffman and published by World Scientific. This book was released on 1993 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the 1984/1985 discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of quantum field theory into the subject and the formulation by Witten and Michael Atiyah of the concept of topological quantum field theories.This book is a review volume of on-going research activity. The papers derive from talks given at the Special Session on Knot and Topological Quantum Field Theory of the American Mathematical Society held at Dayton, Ohio in the fall of 1992. The book consists of a self-contained article by Kauffman, entitled Introduction to Quantum Topology and eighteen research articles by participants in the special session.This book should provide a useful source of ideas and results for anyone interested in the interface between topology and quantum field theory.
Book Synopsis Path Integrals and Quantum Anomalies by : Kazuo Fujikawa
Download or read book Path Integrals and Quantum Anomalies written by Kazuo Fujikawa and published by OUP Oxford. This book was released on 2004-04-29 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of field theory beyond advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicit and elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.
Book Synopsis Fermions and Anomalies in Quantum Field Theories by : Loriano Bonora
Download or read book Fermions and Anomalies in Quantum Field Theories written by Loriano Bonora and published by Springer Nature. This book was released on 2023-05-04 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students.
Book Synopsis Symposium on Anomalies, Geometry, Topology by : William A. Bardeen
Download or read book Symposium on Anomalies, Geometry, Topology written by William A. Bardeen and published by . This book was released on 1985 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Topology and Quantum Field Theory by : Charles Nash
Download or read book Differential Topology and Quantum Field Theory written by Charles Nash and published by Elsevier. This book was released on 1991 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are presented here in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author, following his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, 1983), covers elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory. The explanatory approach serves to illuminate and clarify these theories for graduate students and research workers entering the field for the first time. Treats differential geometry, differential topology, and quantum field theory Includes elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory Tackles problems of quantum field theory using differential topology as a tool
Book Synopsis Lectures on Field Theory and Topology by : Daniel S. Freed
Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.
Book Synopsis Quantization of Singular Symplectic Quotients by : N.P. Landsman
Download or read book Quantization of Singular Symplectic Quotients written by N.P. Landsman and published by Birkhäuser. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. The reader will acquire an introduction to the various techniques used in this area, as well as an overview of the latest research approaches. These involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry. Thus one will be amply prepared to follow future developments in this field.
Book Synopsis Current Algebra and Anomalies by : Sam Treiman
Download or read book Current Algebra and Anomalies written by Sam Treiman and published by Princeton University Press. This book was released on 2014-07-14 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current algebra remains our most successful analysis of fundamental particle interactions. This collection of surveys on current algebra and anomalies is a successor volume to Lectures on Current Algebra and Its Applications (Princeton Series in Physics, 1972). Originally published in 1986. 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.
Book Synopsis Classical Topology and Quantum States by : A P Balachandran
Download or read book Classical Topology and Quantum States written by A P Balachandran and published by World Scientific. This book was released on 1991-05-16 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the role of topology in the quantization of classical systems. It is also an introduction to topological solitons with special emphasis on Skyrmions. As regards the first aspect, several issues of current interest are dealt with at a reasonably elementary level. Examples are principal fibre bundles and their role in quantum physics, the possibility of spinorial quantum states in a Lagrangian theory based on tensorial variables, and multiply connected configuration spaces and associated quantum phenomena like the QCD q angle and exotic statistics. The ideas are also illustrated by simple examples such as the spinning particle, the charge-monopole system and strings in 3+1 dimensions. The application of these ideas to quantum gravity is another subject treated at an introductory level. An attempt has been made in this book to introduce the reader to the significance of topology for many distinct physical systems such as spinning particles, the charge- monopole system, strings, Skyrmions, QCD and gravity. The book is an outgrowth of lectures given by the authors at various institutions and conferences. Contents:Part I: Classical Mechanics and Quantum States:The Dirac-Bergmann Theory of ConstraintsNonrelativistic Particles with Fixed SpinMagnetic MonopolesThe Canonical Formalism and QuantizationThe Wess-Zumino Term and the Path SpaceQuantum Symmetries and the Wess-Zumino TermQuantum Theory for Multiply Connected Configuration SpacesPart II: Topological Solitons and Nonlinear Models:Topological Solitons in One and Two DimensionsNonlinear Models as Gauge TheoriesThe Chern-Simons TermPart III: Skyrmions:The Effective Lagrangian for QCDSkyrme Solitons for Two FlavoursPreliminary Discussion of Skyrme's ProposalsBaryon Number and Spin of the SkyrmionMore on the Wess-Zumino TermA Hierarchy of “Spherically Symmetric” AnsätzeSkyrmion PhenomenologyElectroweak SkyrmionsPart IV: Gauge, Gravity and String Theories:Multiply Connected Configuration Spaces in Gauge and Gravity TheoriesGeons and their PropertiesStatistics, Strings and Gravity Readership: Mathematical physicists and physicists interested in topological concepts, soliton and skyrmion theory and foundations of quantum theory. keywords:Skyrmions and Other Solitons;Geons;Magnetic Monopoles;Nonlinear Models;Wess-Zumino Term;Topology and Quantum Theory;Chern-Simons Theory;Fibre Bundles;Constraint Theory and Quantization;Spin and Statistics
Book Synopsis Quantum Field Theory for Mathematicians by : Robin Ticciati
Download or read book Quantum Field Theory for Mathematicians written by Robin Ticciati and published by Cambridge University Press. This book was released on 1999-06-13 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This should be a useful reference for anybody with an interest in quantum theory.
Book Synopsis Exotic Smoothness And Physics: Differential Topology And Spacetime Models by : Torsten Asselmeyer-maluga
Download or read book Exotic Smoothness And Physics: Differential Topology And Spacetime Models written by Torsten Asselmeyer-maluga and published by World Scientific. This book was released on 2007-01-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent revolution in differential topology related to the discovery of non-standard (”exotic”) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit — but now shown to be incorrect — assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are the mathematical models for physical coordinate transformations, Einstein's relativity principle requires that these models be physically inequivalent. This book provides an introductory survey of some of the relevant mathematics and presents preliminary results and suggestions for further applications to spacetime models.
Book Synopsis Topological Quantum Numbers In Nonrelativistic Physics by : David Thouless
Download or read book Topological Quantum Numbers In Nonrelativistic Physics written by David Thouless and published by World Scientific. This book was released on 1998-03-12 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological quantum numbers are distinguished from quantum numbers based on symmetry because they are insensitive to the imperfections of the systems in which they are observed. They have become very important in precision measurements in recent years, and provide the best measurements of voltage and electrical resistance. This book describes the theory of such quantum numbers, starting with Dirac's argument for the quantization of electric charge, and continuing with discussions on the helium superfluids, flux quantization and the Josephson effect in superconductors, the quantum Hall effect, solids and liquid crystals, and topological phase transitions. The accompanying reprints include some of the classic experimental and theoretical papers in this area.Physicists — both experimental and theoretical — who are interested in the topic will find this book an invaluable reference.
