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Topological charge evolution in the Markov chain of QCD

2003/12/31 by Derek B. Leinweber, Anthony G. Williams, Jianbo Zhang +3 · 2 citations
Mathematics · Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1016/j.physletb.2004.02.008

published as Phys.Lett.B585:187-191,2004 · 4 pages, 2 figures

arxiv created 2004/02/13 · openalex publication_date 2004/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The topological charge is studied on lattices of large physical volume and fine lattice spacing. We illustrate how a parity transformation on the SU(3) link-variables of lattice gauge configurations reverses the sign of the topological charge and leaves the action invariant. Random applications of the parity transformation are proposed to traverse from one topological charge sign to the other. The transformation provides an improved unbiased estimator of the ensemble average and is essential in improving the ergodicity of the Markov chain process.

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