Statistics of harmonic measure and winding of critical curves from conformal field theory

Details Statistics of harmonic measure and winding of critical curves from conformal field theory Statistics of harmonic measure and winding of critical curves from conformal field theory

2008-02-16

arxiv.org/abs/0802.2319v2

J. Phys. A: Math. Theor. 41, 285006 (2008)

Physics

Condensed Matter

Statistical Mechanics

Published version

Scientific paper

10.1088/1751-8113/41/28/285006

Fractal geometry of random curves appearing in the scaling limit of critical two-dimensional statistical systems is characterized by their harmonic measure and winding angle. The former is the measure of the jaggedness of the curves while the latter quantifies their tendency to form logarithmic spirals. We show how these characteristics are related to local operators of conformal field theory and how they can be computed using conformal invariance of critical systems with central charge $c \leqslant 1$.

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