Published October 21, 2005
| Version v1
Journal article
Harmonic Measure of Critical Curves
- 1. James Frank Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637 (United States)
Description
Fractal geometry of critical curves appearing in 2D critical systems is characterized by their harmonic measure. For systems described by conformal field theories with central charge c≤1, scaling exponents of the harmonic measure have been computed by Duplantier [Phys. Rev. Lett. 84, 1363 (2000)] by relating the problem to boundary two-dimensional gravity. We present a simple argument connecting the harmonic measure of critical curves to operators obtained by fusion of primary fields and compute characteristics of the fractal geometry by means of regular methods of conformal field theory. The method is not limited to theories with c≤1
Additional details
Identifiers
- DOI
- 10.1103/PhysRevLett.95.170602;
- arXiv
- arXiv:hep-th/0507115v3;
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 95
- Journal Issue
- 17
- Journal Page Range
- p. 170602-170602.4
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37015460
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BOUNDARY CONDITIONS; CONFORMAL INVARIANCE; FRACTALS; GEOMETRY; MEASURE THEORY; QUANTUM GRAVITY; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICS; QUANTUM FIELD THEORY
Optional Information
- Notes
- (c) 2005 The American Physical Society