Monte Carlo study of the SU(2)×SU(2) chiral model on a two-dimensional random lattice

Abstract

Monte Carlo (MC) simulations of the two-dimensional random lattice SU(2)×SU(2) chiral model defined on an N× N lattice are performed. The results of energy and specific heat per spin show that the system enters into the crossover region after β>1.0±0.05, but no evidence of a phase transition is found. In addition, we analyse the finite size effects, and find no obvious differences with different lattice sizes when N > 8. It confirms the correspondence between the two-dimensional SU(2)×SU(2) chiral model and the four-dimensional SU(2) gauge theory in the random lattice formulation.