Topics In Low Dimensional Field Theory

Author : Hugh Osborn
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 49,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489916129

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Low-Dimensional Topology and Quantum Field Theory by Hugh Osborn Pdf

The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.

Author : L. Baulieu,Vladimir Kazakov,Marco Picco,Paul Windey
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 49,5 Mb
Release : 2013-12-01
Category : Science
ISBN : 9781489919199

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Low-Dimensional Applications of Quantum Field Theory by L. Baulieu,Vladimir Kazakov,Marco Picco,Paul Windey Pdf

The Cargese Summer School "Low Dimensional Applications of Quantum Field Theory" was held in July 1995. The School was dedicated to the memory of Claude Itzykson. This session focused on the recent progress in quantum field theory in two dimen sions with a particular emphasis on integrable models and applications of quantum field theory to condensed matter physics. A large fraction of the school was also devoted to a detailed review of the exciting developments in four dimensional super symmetric Yang-Mills theory. The diversity of the topics presented constitute, in our opinion, one of the most attractive features of these proceedings. Some contributions constitute a very thor ough introduction to their subject matter and should be helpful to advanced students in the field while others present entirely new research, not previously published, and should be of considerable interest to the specialist. There were in depth introductory lectures on the application of conformal field theory techniques to disordered systems, on the quantum Hall effect, on quantum in tegrable systems, on the thermodynamic Bethe Ansatz and on the new developments in supersymmetric gauges theories. The computation of the three point function of the Liouville model using conformal bootstrap methods was presented in detail.

Author : Lu Yu,Stig Lundqvist,Giuseppe Morandi
Publisher : World Scientific
Page : 625 pages
File Size : 52,6 Mb
Release : 1995-02-28
Category : Electronic
ISBN : 9789814556835

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Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course by Lu Yu,Stig Lundqvist,Giuseppe Morandi Pdf

This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 42,5 Mb
Release : 1994
Category : MATHEMATICS
ISBN : 9814534080

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Topology, Geometry, and Field Theory by Anonim Pdf

Author : Guiseppe Morandi,Pasquale Sodano,Arturo Tagliacozzo,Valerio Tognetti
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 50,9 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662042731

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Field Theories for Low-Dimensional Condensed Matter Systems by Guiseppe Morandi,Pasquale Sodano,Arturo Tagliacozzo,Valerio Tognetti Pdf

This book is especially addressed to young researchers in theoretical physics with a basic background in Field Theory and Condensed Matter Physics. The topics were chosen so as to offer the largest possible overlap between the two expertises, selecting a few key problems in Condensed Matter Theory which have been recently revisited within a field-theoretic approach. The presentation of the material is aimed not only at providing the reader with an overview of this exciting frontier area of modern theoretical physics, but also at elucidating most of the tools needed for a technical comprehen sion of the many papers appearing in current issues of physics journals and, hopefully, to enable the reader to tackle research problems in this area of physics. This makes the material a live creature: while not pretending it to be exhaustive, it is tutorial enough to be useful to young researchers as a starting point in anyone of the topics covered in the book.

Author : Michael J. Crescimanno
Publisher : Unknown
Page : 366 pages
File Size : 44,6 Mb
Release : 1991
Category : Electronic
ISBN : UCAL:C3365828

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Topics in Low-dimensional Field Theory by Michael J. Crescimanno Pdf

Author : Stig Lundqvist,Giuseppe Morandi,Lu Yu,International Centre for Theoretical Physics
Publisher : World Scientific Publishing Company Incorporated
Page : 611 pages
File Size : 45,6 Mb
Release : 1995
Category : Science
ISBN : 9810221401

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Low-dimensional Quantum Field Theories for Condensed Matter Physicists by Stig Lundqvist,Giuseppe Morandi,Lu Yu,International Centre for Theoretical Physics Pdf

This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks

Author : Jurg Frohlich
Publisher : World Scientific
Page : 854 pages
File Size : 46,6 Mb
Release : 1992-04-29
Category : Electronic
ISBN : 9789814506564

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Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications by Jurg Frohlich Pdf

Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Author : Alexander Cardona,Sylvie Paycha,Hernan Ocampo
Publisher : World Scientific
Page : 492 pages
File Size : 42,5 Mb
Release : 2003-03-21
Category : Mathematics
ISBN : 9789814487672

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Geometric and Topological Methods for Quantum Field Theory by Alexander Cardona,Sylvie Paycha,Hernan Ocampo Pdf

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. Contents:Noncommutative Geometry:Hopf Algebras in Noncommutative Geometry (J C Várilly)The Noncommutative Geometry of Aperiodic Solids (J Bellissard)Noncommutative Geometry and Abstract Integration Theory (M-T Benameur)Topological Field Theory:Introduction to Quantum Invariants of 3-Manifolds, Topological Quantum Field Theories and Modular Categories (C Blanchet)An Introduction to Donaldson–Witten Theory (M Mariño)Supergravity and String Theory:(Super)-Gravities Beyond 4 Dimensions (J Zanelli)Introductory Lectures on String Theory and the AdS/CFT Correspondence (A Pankiewicz & S Theisen)Short Communications:Group Contractions and Its Consequences Upon Representations of Different Spatial Symmetry Groups (M Ayala-Sánchez & R W Haase)Phase Anomalies as Trace Anomalies in Chern–Simons Theory (A Cardona)Deligne Cohomology for Orbifolds, Discrete Torsion and B-Fields (E Lupercio & B Uribe) Readership: Graduate students and researchers in theoretical and mathematical physics, as well as geometry and topology. Keywords:

Author : Vassily Olegovich Manturov,Louis H Kauffman
Publisher : World Scientific
Page : 540 pages
File Size : 49,6 Mb
Release : 2015-01-27
Category : Mathematics
ISBN : 9789814630634

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New Ideas In Low Dimensional Topology by Vassily Olegovich Manturov,Louis H Kauffman Pdf

This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics.

Author : Domokos Gabor,Horvath Zalan,Kovesi-domokos Susan
Publisher : #N/A
Page : 500 pages
File Size : 52,8 Mb
Release : 1991-03-15
Category : Electronic
ISBN : 9789814556507

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Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory by Domokos Gabor,Horvath Zalan,Kovesi-domokos Susan Pdf

This workshop was devoted to a discussion of recent progress made in the understanding of quantum field theories in spacetimes of less than four dimensions. In fact, the subject reached a certain degree of maturity and since most of the contributors played a major role in that progress, this volume constitutes a definitive treatise on this subject. Some of the subjects dealt with include: Quantum Groups and their Representations; W-Algebras and their Role in Physical Systems; Conformally Invariant Quantum Field Theories; Integrable Systems; Topological Field Theories.

Author : Mikhail Shifman
Publisher : Cambridge University Press
Page : 739 pages
File Size : 50,5 Mb
Release : 2022-04-28
Category : Science
ISBN : 9781108840422

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Advanced Topics in Quantum Field Theory by Mikhail Shifman Pdf

The Second Edition of this systematic, comprehensive text is revised to include topics developed in the last decade. A new final part presents more than 90 problems with detailed solutions, making this an indispensable book for graduate students and researchers in theoretical physics.

Author : M. Shifman
Publisher : Cambridge University Press
Page : 641 pages
File Size : 45,8 Mb
Release : 2012-01-19
Category : Science
ISBN : 9781139501880

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Advanced Topics in Quantum Field Theory by M. Shifman Pdf

Since the advent of Yang–Mills theories and supersymmetry in the 1970s, quantum field theory - the basis of the modern description of physical phenomena at the fundamental level - has undergone revolutionary developments. This is the first systematic and comprehensive text devoted specifically to modern field theory, bringing readers to the cutting edge of current research. The book emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. Featuring extensive cross-referencing from traditional topics to recent breakthroughs in the field, it prepares students for independent research. The side boxes summarizing the main results and over 70 exercises make this an indispensable book for graduate students and researchers in theoretical physics.

Author : Kenji Fukaya,Dieter Kotschick,M Furuta,Toshitake Kohno
Publisher : World Scientific
Page : 266 pages
File Size : 53,5 Mb
Release : 1994-08-31
Category : Electronic
ISBN : 9789814550642

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Topology, Geometry And Field Theory - Proceedings Of The 31st International Taniguchi Symposium And Proceedings Of The Conference by Kenji Fukaya,Dieter Kotschick,M Furuta,Toshitake Kohno Pdf

Nobel Symposium 129 on Neutrino Physics was held at Haga Slott in Enköping, Sweden during August 19-24, 2004. Invited to the symposium were around 40 globally leading researchers in the field of neutrino physics, both experimental and theoretical.The dominant theme of the lectures was neutrino oscillations, which after several years were recently verified by results from the Super-Kamiokande detector in Kamioka, Japan and the SNO detector in Sudbury, Canada. Discussion focused especially on effects of neutrino oscillations derived from the presence of matter and the fact that three different neutrinos exist. Since neutrino oscillations imply that neutrinos have mass, this is the first experimental observation that fundamentally deviates from the standard model of particle physics. This is a challenge to both theoretical and experimental physics. The various oscillation parameters will be determined with increased precision in new, specially designed experiments. Theoretical physics is working intensively to insert the knowledge that neutrinos have mass into the theoretical models that describe particle physics. The lectures provided a very good description of the intensive situation in the field right now. The topics discussed also included mass models for neutrinos, neutrinos in extra dimensions as well as the “seesaw mechanism,” which provides a good description of why neutrino masses are so small.This book is A4 size and in full color.

Author : Anonim
Publisher : Unknown
Page : 548 pages
File Size : 45,8 Mb
Release : 1990
Category : Power resources
ISBN : MINN:30000006336790

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Energy Research Abstracts by Anonim Pdf