Ergodicity of the LLR method for the Density of States

Guido Cossu; Biagio Lucini; Roberto Pellegrini; Antonio Rago

doi:10.1051/epjconf/201817502005

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EPJ Web of Conferences 175, 02005 (2018)
https://doi.org/10.1051/epjconf/201817502005

Ergodicity of the LLR method for the Density of States

Guido Cossu¹, Biagio Lucini², Roberto Pellegrini and Antonio Rago³^,4^*

¹ School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3JZ, UK
² Department of Mathematics, Swansea University, Swansea SA2 8PP, UK
³ Centre for Mathematical Sciences, Plymouth University, Plymouth, PL4 8AA, United Kingdom
⁴ CERN, Theoretical Physics Department, Geneva, Switzerland

^* Speaker, e-mail: antonio.rago@plymouth.ac.uk

Published online: 26 March 2018

Abstract

The LLR method is a novel algorithm that enables us to evaluate the density of states in lattice gauge theory. We present our study of the ergodicity properties of the LLR algorithm for the model of Yang Mills SU(3). We show that the use of the replica exchange method alleviates significantly the topological freeze-out that severely affects other algorithms.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).