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Author : William A. Bardeen
Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.F/5 ( download)
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 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William A. Bardeen
Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.:/5 (991 download)
Download or read book Anomalies, Geometry, Topology written by William A. Bardeen and published by . This book was released on 1986 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikio Nakahara
Publisher : Taylor & Francis
ISBN 13 : 1420056948
Total Pages : 596 pages
Book Rating : 4.4/5 (2 download)
Download or read book Geometry, Topology and Physics written by Mikio Nakahara and published by Taylor & Francis. This book was released on 2018-10-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
Author : Randy A Baadhio
Publisher : World Scientific
ISBN 13 : 9814498777
Total Pages : 286 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quantum Topology And Global Anomalies written by Randy A Baadhio and published by World Scientific. This book was released on 1996-09-03 with total page 286 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.
Author : P. Bandyopadhyay
Publisher : Springer Science & Business Media
ISBN 13 : 9401154260
Total Pages : 236 pages
Book Rating : 4.4/5 (11 download)
Download or read book Geometry, Topology and Quantization written by P. Bandyopadhyay and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph on geometrical and topological features which arise in various quantization procedures. Quantization schemes consider the feasibility of arriving at a quantum system from a classical one and these involve three major procedures viz. i) geometric quantization, ii) Klauder quantization, and iii) stochastic quanti zation. In geometric quantization we have to incorporate a hermitian line bundle to effectively generate the quantum Hamiltonian operator from a classical Hamil tonian. Klauder quantization also takes into account the role of the connection one-form along with coordinate independence. In stochastic quantization as pro posed by Nelson, Schrodinger equation is derived from Brownian motion processes; however, we have difficulty in its relativistic generalization. It has been pointed out by several authors that this may be circumvented by formulating a new geometry where Brownian motion proceses are considered in external as well as in internal space and, when the complexified space-time is considered, the usual path integral formulation is achieved. When this internal space variable is considered as a direc tion vector introducing an anisotropy in the internal space, we have the quantization of a Fermi field. This helps us to formulate a stochastic phase space formalism when the internal extension can be treated as a gauge theoretic extension. This suggests that massive fermions may be considered as Skyrme solitons. The nonrelativistic quantum mechanics is achieved in the sharp point limit.
Author : Willliam A. Bardeen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (471 download)
Download or read book Symposium on Anomalies, Geometry, Topology written by Willliam A. Bardeen and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William A. Bardeen
Publisher :
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.F/5 ( download)
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:
Author : Reinhold A. Bertlmann
Publisher : Oxford University Press
ISBN 13 : 9780198507628
Total Pages : 590 pages
Book Rating : 4.5/5 (76 download)
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
Author : Eike Bick
Publisher : Springer Science & Business Media
ISBN 13 : 9783540231257
Total Pages : 380 pages
Book Rating : 4.2/5 (312 download)
Download or read book Topology and Geometry in Physics written by Eike Bick and published by Springer Science & Business Media. This book was released on 2005-01-18 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, supersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material.
Author : R. Rennie
Publisher :
ISBN 13 :
Total Pages : 779 pages
Book Rating : 4.:/5 (354 download)
Download or read book Geometry and Topology of Chiral Anomalies in Gauge Theories written by R. Rennie and published by . This book was released on 1990 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sylvie Paycha
Publisher : American Mathematical Soc.
ISBN 13 : 0821840622
Total Pages : 272 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric and Topological Methods for Quantum Field Theory written by Sylvie Paycha and published by American Mathematical Soc.. This book was released on 2007 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, based on lectures and short communications at a summer school in Villa de Leyva, Colombia (July 2005), offers an introduction to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. It is aimed at graduate students in physics or mathematics who might want insight in the following topics (covered in five survey lectures): Anomalies and noncommutative geometry, Deformation quantisation and Poisson algebras, Topological quantum field theory and orbifolds. These lectures are followed by nine articles on various topics at the borderline of mathematics and physics ranging from quasicrystals to invariant instantons through black holes, and involving a number of mathematical tools borrowed from geometry, algebra and analysis.
Author : Eike Bick
Publisher : Springer
ISBN 13 : 9783540803980
Total Pages : 362 pages
Book Rating : 4.8/5 (39 download)
Download or read book Topology and Geometry in Physics written by Eike Bick and published by Springer. This book was released on 2009-09-02 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, sypersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material.
Author : P. Bandyopadhyay
Publisher : Springer Science & Business Media
ISBN 13 : 9401716978
Total Pages : 225 pages
Book Rating : 4.4/5 (17 download)
Download or read book Geometry, Topology and Quantum Field Theory written by P. Bandyopadhyay and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase. The role of gauge fields in the quantization procedure has its implications in these topological features of a fermion and helps us to consider a massive fermion as a soliton (skyrrnion). In this formalism chiral anomaly is found to be responsible for mass generation. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. The geometrical feature of a skyrmion also helps us to realize the internal symmetry of hadrons from reflection group. Finally it has been shown that noncommutative geometry where the space time manifold is taken to be X = M x Zz has its relevance in the description of a massive 4 fermion as a skyrmion when the discrete space is considered as the internal space and the symmetry breaking leads to chiral anomaly. In chap. l preliminary mathematical formulations related to the spinor structure have been discussed. In chap.
Author : Randy A. Baadhio
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810227272
Total Pages : 270 pages
Book Rating : 4.2/5 (272 download)
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:
Author : Michio Kaku
Publisher : Springer Science & Business Media
ISBN 13 : 1461205433
Total Pages : 598 pages
Book Rating : 4.4/5 (612 download)
Download or read book Introduction to Superstrings and M-Theory written by Michio Kaku and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Called by some "the theory of everything," superstrings may solve a problem which has eluded physicists for the past 50 years -- the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. This is a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentation, including: string field theory, multi loops, Teichmueller spaces, conformal field theory, and four-dimensional strings. The book begins with a simple discussion of point particle theory, and uses the Feynman path integral technique to unify the presentation of superstrings. Prerequisites are an aquaintance with quantum mechanics and relativity. This second edition has been revised and updated throughout.
Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 1470452065
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)
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.
Author : Michael B. Green
Publisher : Cambridge University Press
ISBN 13 : 9780521357531
Total Pages : 608 pages
Book Rating : 4.3/5 (575 download)
Download or read book Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology written by Michael B. Green and published by Cambridge University Press. This book was released on 1988-07-29 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A two-volume systematic exposition of superstring theory and its applications which presents many of the new mathematical tools that theoretical physicists are likely to need in coming years. This volume contains an introduction to superstrings
