Topological Zero Modes in Monte Carlo Simulations

TL;DR

This paper introduces an improved Monte Carlo method for simulating topological zero modes in the two-flavor Schwinger model, enhancing the efficiency of topological sector updates in lattice gauge theory.

Contribution

It develops a new approach to incorporate zero mode structures into instanton hits, improving topological sector sampling in unquenched lattice simulations.

Findings

Enhanced topological sector sampling in simulations.

Better matching of quenched and unquenched topological updates.

Potential for more accurate lattice gauge theory results.

Abstract

We present an improvement of global Metropolis updating steps, the instanton hits, used in a hybrid Monte Carlo simulation of the two-flavor Schwinger model with staggered fermions. These hits are designed to change the topological sector of the gauge field. In order to match these hits to an unquenched simulation with pseudofermions, the approximate zero mode structure of the lattice Dirac operator has to be considered explicitly.