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Ergodic sampling of the topological charge using the density of states

Guido Cossu, David Lancaster, Biagio Lucini Orcid Logo, Roberto Pellegrini, Antonio Rago

The European Physical Journal C, Volume: 81, Issue: 4

Swansea University Author: Biagio Lucini Orcid Logo

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Abstract

In lattice calculations, the approach to the continuum limit is hindered by the severe freezing of the topological charge, which prevents ergodic sampling in configuration space. In order to significantly reduce the autocorrelation time of the topological charge, we develop a density of states appro...

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Published in: The European Physical Journal C
ISSN: 1434-6044 1434-6052
Published: Springer Science and Business Media LLC 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56806
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Abstract: In lattice calculations, the approach to the continuum limit is hindered by the severe freezing of the topological charge, which prevents ergodic sampling in configuration space. In order to significantly reduce the autocorrelation time of the topological charge, we develop a density of states approach with a smooth constraint and use it to study SU(3) pure Yang Mills gauge theory near the continuum limit. Our algorithm relies on simulated tempering across a range of couplings, which guarantees the decorrelation of the topological charge and ergodic sampling of topological sectors. Particular emphasis is placed on testing the accuracy, efficiency and scaling properties of the method. In their most conservative interpretation, our results provide firm evidence of a sizeable reduction of the exponent z related to the growth of the autocorrelation time as a function of the inverse lattice spacing.
College: Faculty of Science and Engineering
Funders: Royal Society, STFC, WEFO (ERDF), Wolfson Foundation.
Issue: 4