Topological susceptibility of $\mathrm{SU}(3)$ pure-gauge theory from out-of-equilibrium simulations

TL;DR

This paper introduces an out-of-equilibrium simulation method to measure the topological susceptibility in 4D SU(3) pure-gauge theory, aiming to reduce auto-correlations and mitigate topological freezing.

Contribution

It adapts a novel out-of-equilibrium approach from lower-dimensional models to 4D gauge theories, providing a new computational strategy for topological studies.

Findings

Preliminary results demonstrate reduced auto-correlations.

The method offers a way to mitigate topological freezing.

A computational strategy for efficient simulations is outlined.

Abstract

In \textit{JHEP} \textbf{04} (2024) 126 [arXiv:2402.06561] we recently proposed an out-of-equilibrium setup to reduce the large auto-correlations of the topological charge in two-dimensional $\mathrm{CP}^{N-1}$ models. Our proposal consists of performing open-boundaries simulations at equilibrium, and gradually switching on periodic boundary conditions out-of-equilibrium. Our setup allows to exploit the reduced auto-correlations achieved with open boundaries, avoiding at the same time unphysical boundary effects thanks to a Jarzynski-inspired reweighting-like procedure. We present preliminary results obtained applying this setup to the $4d$ $\mathrm{SU}(3)$ pure-gauge theory and we outline a computational strategy to mitigate topological freezing in this theory.