Geometric And Topological Methods For Quantum Field Theory

Author : Hernan Ocampo
Publisher : Cambridge University Press
ISBN 13 : 113948673X
Total Pages : 435 pages
Book Rating : 4.36/5 ( download)

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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.

Author : Leonardo Cano
Publisher : World Scientific
ISBN 13 : 9814730890
Total Pages : 384 pages
Book Rating : 4.91/5 ( download)

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Download or read book Geometric, Algebraic and Topological Methods for Quantum Field Theory written by Leonardo Cano and published by World Scientific. This book was released on 2016-09-06 with total page 384 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.

Author : Sylvie Payche
Publisher : World Scientific
ISBN 13 : 9814460052
Total Pages : 378 pages
Book Rating : 4.57/5 ( download)

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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.

Author : Hernan Ocampo
Publisher : World Scientific
ISBN 13 : 9812381317
Total Pages : 495 pages
Book Rating : 4.16/5 ( download)

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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.

Author : Alexander Cardona
Publisher :
ISBN 13 : 9781107345577
Total Pages : 396 pages
Book Rating : 4.7X/5 ( download)

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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 396 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"--

Author : Alexander Cardona
Publisher :
ISBN 13 : 9781107345577
Total Pages : pages
Book Rating : 4.7X/5 ( download)

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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"--

Author : Alexander Cardona. Iván Contreras. Andrés F. Reyes-Lega
Publisher :
ISBN 13 : 9781107357693
Total Pages : pages
Book Rating : 4.91/5 ( download)

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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:

Author : Luigi Mangiarotti
Publisher : World Scientific
ISBN 13 : 9814481149
Total Pages : 715 pages
Book Rating : 4.44/5 ( download)

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Download or read book Geometric And Algebraic Topological Methods In Quantum Mechanics written by Luigi Mangiarotti and published by World Scientific. This book was released on 2005-01-27 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry's geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.

Author : Leonardo Cano
Publisher :
ISBN 13 : 9789814730884
Total Pages : 385 pages
Book Rating : 4.82/5 ( download)

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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.

Author : Alexander Cardona
Publisher : World Scientific
ISBN 13 : 9789812705068
Total Pages : 500 pages
Book Rating : 4.66/5 ( download)

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Download or read book Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory written by Alexander Cardona and published by World Scientific. This book was released on 2003 with total page 500 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.