Critical behaviour of the loop gas model on the square lattice

Abstract

The critical behaviour of the two-dimensional self-avoiding loop gas model with multiplicity m=1 (singly counted non-intersecting loops) is studied numerically on a square lattice using a recently developed Monte Carlo method. The critical exponents alpha , beta , gamma and delta are evaluated in the 'critical window' between the finite-size rounding and the non-critical ('correction-to-scaling') regime using a recently calculated accurate value of Tc. Within error bars, Ising-like critical exponents of the loop gas are obtained.