Critical exponents of domain walls in the two-dimensional Potts model.

Autor: Jerome Dubail, Jesper Lykke, Jacobsen and, Hubert Saleur
Předmět:
Zdroj: Journal of Physics A: Mathematical & Theoretical; Dec2010, Vol. 43 Issue 48, p482002-482002, 1p
Abstrakt: We address the geometrical critical behavior of the two-dimensional Q-state Potts model in terms of the spin clusters (i.e. connected domains where the spin takes a constant value). These clusters are different from the usual Fortuin-Kasteleyn clusters, and are separated by domain walls that can cross and branch. We develop a transfer matrix technique enabling the formulation and numerical study of spin clusters even when Q is not an integer. We further identify geometrically the crossing events which give rise to conformal correlation functions. This leads to an infinite series of fundamental critical exponents h_{\ell _1-\ell _2,2\ell _1}, valid for 0 [?] Q [?] 4, that describe the insertion of 1 thin and 2 thick domain walls. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index