Critical slowing down and error analysis in lattice QCD simulations

By Stefan Schaefer, Rainer Sommer, Francesco Virotta. 2010

320 citations recorded by the source corpus.

Abstract We study the critical slowing down towards the continuum limit of lattice QCD simulations with Hybrid Monte Carlo type algorithms. In particular for the squared topological charge we find it to be very severe with an effective dynamical critical exponent of about 5 in pure gauge theory. We also consider Wilson loops which we can demonstrate to decouple from the modes which slow down the topological charge. Quenched observables are studied and a comparison to simulations of full QCD is made. In order to deal with the slow modes in the simulation, we propose a method to incorporate the information from slow observables into the error analysis of physical observables and arrive at safer error estimates.

Subfields: Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7143fe283cbce73f516c3fd6fc0c3248354eb5b0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

In Nuclear and High Energy Physics

Citations in the corpus

Light Hadron Masses from Lattice QCD (2012, background): “…not expected to set in for lattice spacings coarser than a ∼ 0.1 − 0.15 fm, it has been observed (Antonio et al., 2008; Bazavov et al., 2010c; Del Debbio et al., 2002; Luscher, 2010; Schaefer et al., 2011) that for fine lattices the autocorrelation time of the topological charge is rapidly growing.”