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

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, General Physics
Cover of the book Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution by , Springer Berlin Heidelberg
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Author: ISBN: 9783642279348
Publisher: Springer Berlin Heidelberg Publication: April 5, 2012
Imprint: Springer Language: English
Author:
ISBN: 9783642279348
Publisher: Springer Berlin Heidelberg
Publication: April 5, 2012
Imprint: Springer
Language: English

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.

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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.

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