Effects of large field cutoffs in scalar and gauge models

TL;DR

This paper investigates the impact of large field cutoffs in lattice gauge models, comparing gauge invariant and gauge dependent criteria, and analyzing how discarding large field configurations affects observables like the plaquette average.

Contribution

It introduces and compares gauge invariant and gauge dependent criteria for classifying large field configurations in lattice gauge models, highlighting differences from scalar models.

Findings

Correlation between field size indicators and distribution tails differs between gauge and scalar models.

Discarding large field configurations significantly affects the plaquette average near beta=5.6.

Behavior of large field effects varies above, below, and near beta=5.6 in SU(3) lattice gauge theory.

Abstract

We discuss the notion of a large field cutoff for lattice gauge models with compact groups. We propose and compare gauge invariant and gauge dependent (in the Landau gauge) criteria to sort the configurations into ``large-field'' and ``small-field'' configurations. We show that the correlations between volume average of field size indicators and the behavior of the tail of the distribution are very different in the gauge and scalar cases. We show that the effect of discarding the large field configurations on the plaquette average is very different above, below and near beta=5.6 for a pure SU(3) LGT.