Topological Charge Evolution in the Markov-Chain of QCD

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.

4 pages, 2 figures

References in corpus (4)

• Theta dependence of SU(N) gauge theories
• Highly-improved lattice field-strength tensor
• The topological susceptibility and f_pi from lattice QCD
• Free energy and theta dependence of SU(N) gauge theories

Cited by in corpus (7)

• Critical slowing down of topological modes
• $1^{-+}$ exotic meson at light quark masses
• Over-Improved Stout-Link Smearing
• Large-$N$ $SU(N)$ Yang-Mills theories with milder topological freezing
• Large-$N$ expansion and $\theta$-dependence of $2d$ $C{P}^{N-1}$ models beyond the leading order
• Physics of eta-prime with rooted staggered quarks
• Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory