Topological Charge Evolution in the Markov-Chain of QCD
High Energy Physics - Lattice
2010-03-04 v2
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.
Keywords
Cite
@article{arxiv.hep-lat/0312035,
title = {Topological Charge Evolution in the Markov-Chain of QCD},
author = {Derek B. Leinweber and Anthony G. Williams and Jian-bo Zhang and Frank X. Lee},
journal= {arXiv preprint arXiv:hep-lat/0312035},
year = {2010}
}
Comments
4 pages, 2 figures