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Physics - Theoretical, Mathematical & Computational Physics | Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution

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

Series: Lecture Notes in Physics, Vol. 853

Henkel, Malte, Karevski, Dragi (Eds.)

2012, XVI, 189p. 69 illus., 19 illus. in color.

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  • Edited and authored by leading experts in the field
  • Reviews applications of contemporary interest
  • Provides a tutorial introduction to the newcomer

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.

Content Level » Research

Keywords » Schramm-Loewner Evolution (SLE) - boundary CFT - boundary conformal theory - conformal field theory - conformal invariance - critical phenomena - loop models - stochastic processes - virasoro algebra

Related subjects » Complexity - Theoretical, Mathematical & Computational Physics

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