Lecture Notes in Physics

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

Editors: Henkel, Malte, Karevski, Dragi (Eds.)

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

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-27934-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-642-27933-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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.

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)

Table of contents (4 chapters)

  • A Short Introduction to Conformal Invariance

    Henkel, Malte (et al.)

    Pages 1-49

  • A Short Introduction to Critical Interfaces in 2D

    Bauer, Michel

    Pages 51-111

  • Numerical Tests of Schramm-Loewner Evolution in Random Lattice Spin Models

    Chatelain, Christophe

    Pages 113-140

  • Loop Models and Boundary CFT

    Jacobsen, Jesper Lykke

    Pages 141-183

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-27934-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-642-27933-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution
Editors
  • Malte Henkel
  • Dragi Karevski
Series Title
Lecture Notes in Physics
Series Volume
853
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-27934-8
DOI
10.1007/978-3-642-27934-8
Softcover ISBN
978-3-642-27933-1
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XVI, 189
Number of Illustrations and Tables
50 b/w illustrations, 19 illustrations in colour
Topics