Conformal invariance : an introduction to loops, interfaces and stochastic Loewner Evolution / Malte Henkel, Dragi Karevski, editors.

Format:

Book

Contributor:

Henkel, M. (Malte), 1960-

Karevski, Dragi.

Series:

Lecture notes in physics ; 853.

Lecture notes in physics, 0075-8450 ; v. 853

Language:

English

Subjects (All):

Conformal invariants.

Stochastic processes.

Phase transformations (Statistical physics)--Mathematical models.

Phase transformations (Statistical physics).

Physical Description:

1 online resource (XVI, 189 p. 69 illus., 19 illus. in color.)

Edition:

1st ed. 2012.

Place of Publication:

Berlin ; Heidelberg : Springer, c2012.

Language Note:

English

Summary:

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.

Contents:

Introduction to CFT

Critical Interfaces and SLE

Numerical tests of SLE

Loop Models and boundary CFT.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9783642279348

3642279341