Applying the Worldvolume Hybrid Monte Carlo method to lattice gauge theories

TL;DR

The paper discusses extending the Worldvolume Hybrid Monte Carlo method to lattice gauge theories by applying it to group manifolds, aiming to address the sign problem efficiently.

Contribution

It introduces a rigorous framework for applying WV-HMC to lattice gauge theories through extension to group manifolds.

Findings

Provides a theoretical extension of WV-HMC to group manifolds

Addresses ergodicity issues in Lefschetz-thimble approaches

Proposes a framework for lattice gauge theory simulations

Abstract

The numerical sign problem remains one of the central challenges in computational physics. The Worldvolume Hybrid Monte Carlo (WV-HMC) method has recently been proposed as a reliable and computationally efficient algorithm that crucially avoids the ergodicity issues inherent in Lefschetz-thimble approaches. In these proceedings, after outlining the key ideas behind WV-HMC, we present its extension to group manifolds. This provides a rigorous framework for applying WV-HMC to lattice gauge theories.