Topological Charge Evolution in the Markov-Chain of QCD

Details Topological Charge Evolution in the Markov-Chain of QCD Topological Charge Evolution in the Markov-Chain of QCD

2003-12-21

arxiv.org/abs/hep-lat/0312035v2

Phys.Lett.B585:187-191,2004

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 2 figures

Scientific paper

10.1016/j.physletb.2004.02.008

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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