Numerical study of the scaling properties of SU(2) lattice gauge theory in Palumbo non-compact regularization

TL;DR

This study investigates the scaling properties of SU(2) lattice gauge theory using Palumbo non-compact regularization, identifying a scaling window where physical ratios match Wilson regularization but with a larger lattice spacing, implying bigger physical volumes.

Contribution

It provides the first detailed analysis of the scaling window in Palumbo non-compact regularization for SU(2) gauge theory, comparing it to Wilson regularization.

Findings

Identified a scaling window with constant mass ratios.

Found the lattice spacing at least 20% larger than Wilson regularization.

Achieved larger physical volumes in the same computational effort.

Abstract

In the framework of a non-compact lattice regularization of nonabelian gauge theories we look, in the SU(2) case, for the scaling window through the analysis of the ratio of two masses of hadronic states. In the two-dimensional parameter space of the theory we find the region where the ratio is constant, and equal to the one in the Wilson regularization. In the scaling region we calculate the lattice spacing, finding it at least 20% larger than in the Wilson case; therefore the simulated physical volume is larger.