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Author : Ambar Sengupta
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.E/5 ( download)
Download or read book The Yang-Mills Measure for the Two-sphere written by Ambar Sengupta and published by . This book was released on 1990 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thierry Lévy
Publisher : American Mathematical Soc.
ISBN 13 : 0821834290
Total Pages : 144 pages
Book Rating : 4.8/5 (218 download)
Download or read book Yang-Mills Measure on Compact Surfaces written by Thierry Lévy and published by American Mathematical Soc.. This book was released on 2003 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this memoir we present a new construction and new properties of the Yang-Mills measure in two dimensions. This measure was first introduced for the needs of quantum field theory and can be described informally as a probability measure on the space of connections modulo gauge transformations on a principal bundle. We consider the case of a bundle over a compact orientable surface. Our construction is based on the discrete Yang-Mills theory of which we give a full acount. We are able to take its continuum limit and to define a pathwise multiplicative process of random holonomy indexed by the class of piecewise embedded loops. We study in detail the links between this process and a white noise and prove a result of asymptotic independence in the case of a semi-simple structure group. We also investigate global Markovian properties of the measure related to the surgery of surfaces.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821814958
Total Pages : 681 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry: Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
Author : Sergio Albeverio
Publisher : Springer
ISBN 13 : 3319634534
Total Pages : 275 pages
Book Rating : 4.3/5 (196 download)
Download or read book Stochastic Geometric Mechanics written by Sergio Albeverio and published by Springer. This book was released on 2017-11-17 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view. The lectures were given by leading specialists in different areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics.
Author : Astrid Hilbert
Publisher : Springer Nature
ISBN 13 : 3031140311
Total Pages : 390 pages
Book Rating : 4.0/5 (311 download)
Download or read book Quantum and Stochastic Mathematical Physics written by Astrid Hilbert and published by Springer Nature. This book was released on 2023-04-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.
Author : Sultan Catto
Publisher : World Scientific
ISBN 13 : 9814555509
Total Pages : 1228 pages
Book Rating : 4.8/5 (145 download)
Download or read book Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes) written by Sultan Catto and published by World Scientific. This book was released on 1992-01-27 with total page 1228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings reports on some of the most recent advances on the interaction between Differential Geometry and Theoretical Physics, a very active and exciting area of contemporary research.The papers are grouped into the following four broad categories: Geometric Methods, Noncommutative Geometry, Quantum Gravity and Topological Quantum Field Theory. A few of the topics covered are Chern-Simons Theory and Generalizations, Knot Invariants, Models of 2D Gravity, Quantum Groups and Strings on Black Holes.
Author : Gregory J Morrow
Publisher : World Scientific
ISBN 13 : 9814569755
Total Pages : 252 pages
Book Rating : 4.8/5 (145 download)
Download or read book Probability Models In Mathematical Physics - Proceedings Of The Conference written by Gregory J Morrow and published by World Scientific. This book was released on 1991-01-14 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference proceedings includes discussions on state-of-the-art developments in an area being cross fertilized by both probability and mathematical physics. The physics emphasis represents a vision of exciting interplay between physics and probability.Important new results on the following areas are presented: self avoiding random walk, stochastic geometry on loop groups, percolation, spin systems, magnetism, spin glasses, static disorder, gauge field theory, functional integration and quantum field theory.
Author : Ambar Sengupta
Publisher : American Mathematical Soc.
ISBN 13 : 0821804847
Total Pages : 98 pages
Book Rating : 4.8/5 (218 download)
Download or read book Gauge Theory on Compact Surfaces written by Ambar Sengupta and published by American Mathematical Soc.. This book was released on 1997 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we develop a concrete description of connections on principal bundles, possibly non-trivial, over compact surfaces and use this description to construct the Yang-Mills measure which underlies the Euclidean quantum theory of gauge fields, involving compact gauge groups, on compact connected two-dimensional Riemannian manifolds (possibly with boundary). Using this measure we compute expectation values of important random variables, the Wilson loops variables, corresponding to a broad class of configurations of loops on the surface.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 082181494X
Total Pages : 585 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry: Partial Differential Equations on Manifolds written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
Author : Hui-Hsiung Kuo
Publisher : American Mathematical Soc.
ISBN 13 : 0821832026
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite and Infinite Dimensional Analysis in Honor of Leonard Gross written by Hui-Hsiung Kuo and published by American Mathematical Soc.. This book was released on 2003 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821814966
Total Pages : 735 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry: Riemannian Geometry written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 3 begins with an overview by R.E. Greene of some recent trends in Riemannia
Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
ISBN 13 : 9780821837153
Total Pages : 396 pages
Book Rating : 4.8/5 (371 download)
Download or read book Strings and Geometry written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2004 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.
Author : Francesco Guerra
Publisher : World Scientific
ISBN 13 : 9814555061
Total Pages : 474 pages
Book Rating : 4.8/5 (145 download)
Download or read book Probabilistic Methods In Mathematical Physics: Proceedings Of The International Workshop written by Francesco Guerra and published by World Scientific. This book was released on 1992-07-17 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Workshop was to bring together scientists involved in approaching topical problems in mathematical physics by probabilistic methods. Main topics included: Kinetic Theory, Random Systems and Stochastic Mechanics, Nonequilibrium Statistical Mechanics, and Quantum Theory. The book will be an important source for researchers and graduate students in mathematical physics looking for an up to date survey of the subject.
Author : Thierry Lévy
Publisher :
ISBN 13 : 9782856298534
Total Pages : 201 pages
Book Rating : 4.2/5 (985 download)
Download or read book The Master Field on the Plane written by Thierry Lévy and published by . This book was released on 2017 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the large $N$ asymptotics of the Brownian motions on the orthogonal, unitary and symplectic groups, extends the convergence in non-commutative distribution originally obtained by Biane for the unitary Brownian motion to the orthogonal and symplectic cases, and derives explicit estimates for the speed of convergence in non-commutative distribution of arbitrary words in independent increments of Brownian motions. Using these results, the author fulfills part of a program outlined by Singer by constructing and studying the large $N$ limit of the Yang-Mills measure on the Euclidean plane with orthogonal, unitary, and symplectic structure groups. He proves that each Wilson loop converges in probability towards a deterministic limit and that its expectation converges to the same limit at a speed which is controlled explicitly by the length of the loop. In the course of this study, the author reproves and mildly generalizes a result of Hambly and Lyons on the set of tree-like rectifiable paths. Finally, the author rigorously establishes, both for finite $N$ and in the large $N$ limit, the Schwinger-Dyson equations for the expectations of Wilson loops, which in this context are called the Makeenko-Migdal equations. The author studies how these equations allow one to compute recursively the expectation of a Wilson loop as a component of the solution of a differential system with respect to the areas of the faces delimited by the loop.
Author : Katrin Wehrheim
Publisher : European Mathematical Society
ISBN 13 : 9783037190043
Total Pages : 228 pages
Book Rating : 4.1/5 (9 download)
Download or read book Uhlenbeck Compactness written by Katrin Wehrheim and published by European Mathematical Society. This book was released on 2004 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a detailed account of the analytic foundations of gauge theory, namely, Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It guides graduate students into the analysis of Yang-Mills theory as well as serves as a reference for researchers in the field. Largely self contained, the book contains a number of appendices (e.g., on Sobolev spaces of maps between manifolds) and an introductory part covering the $L^p$-regularity theory for the inhomogenous Neumann problem.
Author : M. Shifman
Publisher : World Scientific
ISBN 13 : 9789810218263
Total Pages : 506 pages
Book Rating : 4.2/5 (182 download)
Download or read book Instantons in Gauge Theories written by M. Shifman and published by World Scientific. This book was released on 1994 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a compilation of works which, taken together, give a complete and consistent presentation of instanton calculus in non-Abelian gauge theories, as it exists now. Some of the papers reproduced are instanton classics. Among other things, they show from a historical perspective how the instanton solution has been found, the motivation behind it and how the physical meaning of instantons has been revealed. Other papers are devoted to different aspects of instanton formalism including instantons in supersymmetric gauge theories. A few unsolved problems associated with instantons are described in great detail. The papers are organized into several sections that are linked both logically and historically, accompanied by extensive comments.
Author : William K. Allard
Publisher : American Mathematical Soc.
ISBN 13 : 0821814702
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Measure Theory and the Calculus of Variations written by William K. Allard and published by American Mathematical Soc.. This book was released on 1986 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.
