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Topological And Geometrical Methods In Field Theory
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Book Synopsis Geometric and Topological Methods for Quantum Field Theory by : Hernan Ocampo
Download or read book Geometric and Topological Methods for Quantum Field Theory written by Hernan Ocampo and published by Cambridge University Press. This book was released on 2010-04-29 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.
Book Synopsis Topological And Geometrical Methods In Field Theory - Proceedings Of The 2nd International Symposium by : J Mickelsson
Download or read book Topological And Geometrical Methods In Field Theory - Proceedings Of The 2nd International Symposium written by J Mickelsson and published by World Scientific. This book was released on 1992-03-31 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological and Geometrical Methods in Field Theory by : Jarmo Hietarinta
Download or read book Topological and Geometrical Methods in Field Theory written by Jarmo Hietarinta and published by . This book was released on 1986 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric And Topological Methods For Quantum Field Theory - Proceedings Of The Summer School by : Alexander Cardona
Download or read book Geometric And Topological Methods For Quantum Field Theory - Proceedings Of The Summer School written by Alexander Cardona and published by World Scientific. This book was released on 2003-03-21 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school.
Book Synopsis Topological and Geometrical Methods in Field Theory by : Jouko Mickelsson
Download or read book Topological and Geometrical Methods in Field Theory written by Jouko Mickelsson and published by . This book was released on 1992 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric, Algebraic And Topological Methods For Quantum Field Theory - Proceedings Of The 2013 Villa De Leyva Summer School by : Alexander Cardona
Download or read book Geometric, Algebraic And Topological Methods For Quantum Field Theory - Proceedings Of The 2013 Villa De Leyva Summer School written by Alexander Cardona and published by World Scientific. This book was released on 2016-09-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators.
Book Synopsis Geometric, Algebraic and Topological Methods for Quantum Field Theory by : Sylvie Payche
Download or read book Geometric, Algebraic and Topological Methods for Quantum Field Theory written by Sylvie Payche and published by World Scientific. This book was released on 2014 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory. This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.
Book Synopsis Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory by : Hernan Ocampo
Download or read book Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory written by Hernan Ocampo and published by World Scientific. This book was released on 2003 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school.
Book Synopsis Topological and Geometrical Methods in Field Theory by :
Download or read book Topological and Geometrical Methods in Field Theory written by and published by . This book was released on 1986 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Field Theory and Topology by : Albert S. Schwarz
Download or read book Quantum Field Theory and Topology written by Albert S. Schwarz and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. The main focus of this book is on the results of quantum field theory that are obtained by topological methods. Some aspects of the theory of condensed matter are also discussed. Part I is an introduction to quantum field theory: it discusses the basic Lagrangians used in the theory of elementary particles. Part II is devoted to the applications of topology to quantum field theory. Part III covers the necessary mathematical background in summary form. The book is aimed at physicists interested in applications of topology to physics and at mathematicians wishing to familiarize themselves with quantum field theory and the mathematical methods used in this field. It is accessible to graduate students in physics and mathematics.
Book Synopsis Geometric Methods for Quantum Field Theory by : Hernan Ocampo
Download or read book Geometric Methods for Quantum Field Theory written by Hernan Ocampo and published by World Scientific. This book was released on 2001 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Seiberg -- Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline between geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results. This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, Seiberg -- Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven,self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants at the school.
Book Synopsis Topology, Geometry and Quantum Field Theory by : Ulrike Luise Tillmann
Download or read book Topology, Geometry and Quantum Field Theory written by Ulrike Luise Tillmann and published by Cambridge University Press. This book was released on 2004-06-28 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.
Book Synopsis Geometric and Topological Methods for Quantum Field Theory by : Alexander Cardona
Download or read book Geometric and Topological Methods for Quantum Field Theory written by Alexander Cardona and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on lectures given at the renowed Villa de Leyva summer school, this book provides a unique presentation of modern geometric methods in quantum field theory. Written by experts, it enables readers to enter some of the most fascinating research topics in this subject. Covering a series of topics on geometry, topology, algebra, number theory methods and their applications to quantum field theory, the book covers topics such as Dirac structures, holomorphic bundles and stability, Feynman integrals, geometric aspects of quantum field theory and the standard model, spectral and Riemannian geometry and index theory. This is a valuable guide for graduate students and researchers in physics and mathematics wanting to enter this interesting research field at the borderline between mathematics and physics"--
Book Synopsis Topological and Geometrical Methods in Field Theory by : Jouko Mickelsson
Download or read book Topological and Geometrical Methods in Field Theory written by Jouko Mickelsson and published by World Scientific Publishing Company Incorporated. This book was released on 1992-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric and Topological Methods for Quantum Field Theory by : Alexander Cardona. Iván Contreras. Andrés F. Reyes-Lega
Download or read book Geometric and Topological Methods for Quantum Field Theory written by Alexander Cardona. Iván Contreras. Andrés F. Reyes-Lega and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric written by Leonardo Cano and published by . This book was released on 2016 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators."--Publisher's website.
Book Synopsis Topological and Geometrical Methods in Field Theory. Symposium in Espoo. 8-14 June, 1986 by : Jarmo Hietarinta
Download or read book Topological and Geometrical Methods in Field Theory. Symposium in Espoo. 8-14 June, 1986 written by Jarmo Hietarinta and published by . This book was released on 1986 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt:
