Infinite Analysis: Rims Project 1991 (In 2 Volumes)

Infinite Analysis: Rims Project 1991 (In 2 Volumes) PDF

Author: Tohru Eguchi

Publisher: World Scientific

Published: 1992-06-25

Total Pages: 1104

ISBN-13: 9814554901

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This is a collection of original research papers presented at the workshop. The main topics covered are Conformal Field Theory, Integrable Massive Field Theory, Quantum Gravity, Quantum Group, Lattice Solvable Models, Low Dimensional Topology, and C* Algebras.

State Of Matter: A Volume Dedicated To E H Lieb

State Of Matter: A Volume Dedicated To E H Lieb PDF

Author: Michael Aizenman

Publisher: World Scientific

Published: 1994-02-08

Total Pages: 507

ISBN-13: 9814502340

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This book, a collection of works by leading figures in the field, provides a view of the current research in a broad area of mathematical physics.The collection celebrates Elliot H Lieb's sixtieth birthday and his imprint on the subject. The preface by W Thirring offers a glimpse into the life and work-style of Lieb and some of his contemporaries.

Braid Group, Knot Theory And Statistical Mechanics Ii

Braid Group, Knot Theory And Statistical Mechanics Ii PDF

Author: Chen Ning Yang

Publisher: World Scientific

Published: 1994-02-24

Total Pages: 479

ISBN-13: 9814502782

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The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors.

The Variational Principles of Dynamics

The Variational Principles of Dynamics PDF

Author: Boris A Kupershmidt

Publisher: World Scientific Publishing Company

Published: 1992-12-31

Total Pages: 444

ISBN-13: 9813103655

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Given a conservative dynamical system of classical physics, how does one find a variational principle for it? Is there a canonical recipe for such a principle? The case of particle mechanics was settled by Lagrange in 1788; this text treats continuous systems. Recipes devised are algebraic in nature, and this book develops all the mathematical tools found necessary after the minute examination of the adiabatic fluid dynamics in the introduction. These tools include: Lagrangian and Hamiltonian formalisms, Legendre transforms, dual spaces of Lie algebras and associated 2-cocycles; and linearized and Z2-graded versions of all of these. The following typical physical systems, together with their Hamiltonian structures, are discussed: Classical Magnetohydro-dynamics with its Hall deformation; Multifluid Plasma; Superfluid He-4 (both irrotational and rotating) and 3He-A; Quantum fluids; Yang-Mills MHD; Spinning fluids; Spin Glass; Extended YM Plasma; A Lattice Gas. Detailed motivations, easy-to-follow arguments, open problems, and over 300 exercises help the reader. Request Inspection Copy

Under the Spell of the Gauge Principle

Under the Spell of the Gauge Principle PDF

Author: G. 't Hooft

Publisher: World Scientific

Published: 1994

Total Pages: 700

ISBN-13: 9789810213091

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Few people studying Gauge Field Theory need to be convinced of the importance of the work of 't Hooft. This volume contains a selection of articles and review topics covering his well-known studies on the renormalization of non-Abelian gauge theorems, topological phenomena in gauge field theory and thoughts on the role of black holes in quantum gravity.The chapters are tied together by thoughtful commentaries which provide a background and the illumination of hindsight ? together they form a clear and coherent picture of the physical and theoretical importance of gauge theories and the gauge principle. This book is ideal for students and researchers.Gerard 't Hooft is Professor of Theoretical Physics at the University of Utrecht, The Netherlands. He has taught at Harvard, SLAC and Caltech prior to his present position. Other distinguished honors include being awarded the Dannie Heineman Prize, the Honorary Doctorate of Science from the University of Chicago, Wolf Prize of the State of Israel, Pius XI Medal (Vatican), and the Lorentz Medal (KNAW, Amsterdam).

Form Factors In Completely Integrable Models Of Quantum Field Theory

Form Factors In Completely Integrable Models Of Quantum Field Theory PDF

Author: F A Smirnov

Publisher: World Scientific

Published: 1992-08-07

Total Pages: 224

ISBN-13: 9814506907

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The monograph summarizes recent achievements in the calculation of matrix elements of local operators (form factors) for completely integrable models. Particularly, it deals with sine-Gordon, chiral Gross-Neven and O(3) nonlinear s models. General requirements on form factors are formulated and explicit formulas for form factors of most fundamental local operators are presented for the above mentioned models.

Lie Algebras, Vertex Operator Algebras and Their Applications

Lie Algebras, Vertex Operator Algebras and Their Applications PDF

Author: Yi-Zhi Huang

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 500

ISBN-13: 0821839861

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The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.