2021/02/06 by Guido Cossu, David Lancaster, Biagio Lucini +2
Physics and Astronomy · #Autocorrelation #Decorrelation #Ergodic theory #Ergodicity #High-Energy Particle Collisions Research #Lattice (music) #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #Stationary ergodic process #Topological quantum number #Topology (electrical circuits) #hep-lat
paper · pdf · doi:10.1140/epjc/s10052-021-09161-1
22 pages, 16 figure
arxiv created 2021/02/06 · openalex created_date 2021/02/15 · openalex publication_date 2021/04/01 · arxiv updated 2021/05/19 · openalex updated_date 2026/08/05
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.