Conformal Invariance

an Introduction to Loops, Interfaces and Stochastic Loewner Evolution

By: Malte Henkel (Editor), Dragi Karevski (Editor)

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Paperback | 5 April 2012

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208 Pages

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22.23 x 15.24 x 1.27

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Conformally invariance has proven spectacularly useful for the understanding of two-dimensional phase transitions of classical systems at equilibrium. This volume presents an introduction to non-local observables such as loops and interfaces. It is explained how they arise from specific physical contexts and how to use conformal invariance to determine their properties. Stochastic Loewner Evolution represents an important conceptual advance, whose consequences provoked considerable interest by physicists and mathematicians alike. In this book, after an introductory chapter on the elements of conformal invariance, both the conceptual foundations of Stochastic Loewner Evolution as well as extensive numerical tests will be described. This is followed by applications to geometric phase transitions such as percolation or polymer systems, with particular attention to surface effects. The informal style of the book makes its contents accessible to graduate students and non-specialist readers from other fields.

Industry Reviews

From the reviews:

"The book consists of 4 chapters, each giving an introduction to one of the following topics: conformal invariance, critical interfaces in 2D, numerical tests of Schramm-Loewner evolution in random spin models, and loop models and boundary CFT. ... All of the contributions are nicely written, with numerous illustrations and graphics, and they whet one's appetite to learn more about this rich and beautiful field ... or serve as a guide for further study and exploration." (Roland M. Friedrich, Mathematical Reviews, March, 2014)

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