Critical slowing down and error analysis in lattice QCD simulations

Details Critical slowing down and error analysis in lattice QCD simulations Critical slowing down and error analysis in lattice QCD simulations

2010-09-27

arxiv.org/abs/1009.5228v1

Nucl.Phys.B845:93-119,2011

Physics

High Energy Physics

High Energy Physics - Lattice

33 pages including 15 figures and 4 tables

Scientific paper

10.1016/j.nuclphysb.2010.11.020

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.

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