Published October 21, 2008 | Version v1
Journal article Metadata-only

Harmonic measure and winding of random conformal paths: A Coulomb gas perspective

Creators

  • 1. Institut de Physique Theorique, CEA/Saclay, F-91191 Gif-sur-Yvette cedex (France)
  • 2. Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 3G3 (Canada)

Description

We consider random conformally invariant paths in the complex plane (SLEs). Using the Coulomb gas method in conformal field theory, we rederive the mixed multifractal exponents associated with both the harmonic measure and winding (rotation or monodromy) near such critical curves, previously obtained by quantum gravity methods. The results also extend to the general cases of harmonic measure moments and winding of multiple paths in a star configuration

Availability note (English)

Available from http://dx.doi.org/10.1016/j.nuclphysb.2008.05.020

Additional details

Identifiers

DOI
10.1016/j.nuclphysb.2008.05.020;
arXiv
arXiv:0802.2280v1;
PII
S0550-3213(08)00272-1;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
802
Journal Issue
3
Journal Page Range
p. 494-513
ISSN
0550-3213
CODEN
NUPBBO

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40061423
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONFORMAL INVARIANCE; GRAPH THEORY; MEASURE THEORY; QUANTUM GRAVITY; RANDOMNESS
Descriptors DEC
FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICS; QUANTUM FIELD THEORY

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.