Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions

TL;DR

This paper introduces a modified Hybrid-Monte-Carlo algorithm that enables larger step-sizes by splitting the pseudo-fermion action, demonstrated on a two-dimensional lattice Schwinger model with Wilson-fermions.

Contribution

The paper presents a novel modification to the Hybrid-Monte-Carlo algorithm that improves efficiency by allowing larger integration step-sizes without reducing acceptance rates.

Findings

Successful implementation on the 2D lattice Schwinger model

Increased step-size with maintained acceptance rate

Potential for faster simulations of dynamical fermions

Abstract

We propose a modification of the Hybrid-Monte-Carlo algorithm that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is that the pseudo-fermion action is split into two parts. We test our proposal at the example of the two-dimensional lattice Schwinger model with two degenerate flavours of Wilson-fermions.