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Conformal Invariance And Applications To Statistical Mechanics

1998-09-29
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Release : 1998-09-29
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Kind : eBook
Book Rating : 598/5 ( reviews)

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Book Synopsis Conformal Invariance And Applications To Statistical Mechanics by : C Itzykson

Download or read book Conformal Invariance And Applications To Statistical Mechanics written by C Itzykson. This book was released on 1998-09-29. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.

Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution

2012-04-04 Language Arts & Disciplines
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Release : 2012-04-04
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 333/5 ( reviews)

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Book Synopsis Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution by : Malte Henkel

Download or read book Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution written by Malte Henkel. This book was released on 2012-04-04. Available in PDF, EPUB and Kindle. Book excerpt: Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.

Conformal Field Theory

1995-02-28 Science
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Release : 1995-02-28
Genre : Science
Kind : eBook
Book Rating : 529/5 ( reviews)

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Book Synopsis Conformal Field Theory by : Sergei V Ketov

Download or read book Conformal Field Theory written by Sergei V Ketov. This book was released on 1995-02-28. Available in PDF, EPUB and Kindle. Book excerpt: Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and “conformal” intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.

Fields, Strings and Critical Phenomena

1990 Mathematics
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Release : 1990
Genre : Mathematics
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Book Rating : /5 ( reviews)

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Book Synopsis Fields, Strings and Critical Phenomena by : E. Brézin

Download or read book Fields, Strings and Critical Phenomena written by E. Brézin. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. This session of the Summer School in Theoretical Physics concentrated on the recent advances in areas of physics ranging from (super)strings to field theory and statistical mechanics. The articles contained in this volume provide a stimulating and up-to-date account of a rapidly growing subject.Discussion focussed on the many points of convergence between field theory and statistical mechanics: conformal field theory, field theory on a lattice, the study of strongly correlated electron systems, as in the Hubbard model, leading to topological Lagrangians, which are perhaps the key of the understanding of high Tc superconductivity or the fractional quantum Hall effect. The critical phenomena in (1+1) dimensions, in the domain in which quantum fluctuations are strong, are described for antiferromagnetic couplings by relativistic theories in which the methods of abelian or non-abelian bosonization are particularly powerful.

Scaling and Renormalization in Statistical Physics

1996-04-26 Science
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Release : 1996-04-26
Genre : Science
Kind : eBook
Book Rating : 590/5 ( reviews)

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Book Synopsis Scaling and Renormalization in Statistical Physics by : John Cardy

Download or read book Scaling and Renormalization in Statistical Physics written by John Cardy. This book was released on 1996-04-26. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. It begins with a brief review of phase transitions in simple systems, then goes on to introduce the core ideas of the renormalisation group.

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