Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-02-18
Nuclear Physics B, Volume 802, Issue 3, 21 October 2008, Pages 494-513
Physics
Condensed Matter
Statistical Mechanics
29 pages, 4 figures
Scientific paper
10.1016/j.nuclphysb.2008.05.020
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.
Binder Ilia
Duplantier Bertrand
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