Scaling in the positive plaquette model and universality in SU(2) lattice gauge theory

Abstract

We investigate universality, scaling, the β-function and the topological charge in the positive plaquette model for SU(2) lattice gauge theory. Comparing physical quantities, like the critical temperature, the string tension, glueball masses, and their ratios, we explore the effect of a complete suppression of a certain lattice artifact, namely the negative plaquettes, for SU(2) lattice gauge theory. Our result is that this modification does not change the continuum limit, i.e., the universality class. The positive plaquette model and the standard Wilson formulation describe the same physical situation. The approach to the continuum limit given by the β-function in terms of the bare lattice coupling, however, is rather different: the β-function of the positive plaquette model does not show a “dip” like the model with standard Wilson action.