Multiscale Monte Carlo equilibration: Pure Yang-Mills theory

Abstract

We present a multiscale thermalization algorithm for lattice gauge theory, which enables efficient parallel generation of uncorrelated gauge field configurations. The algorithm combines standard Monte Carlo techniques with ideas drawn from real space renormalization group and multigrid methods. We demonstrate the viability of the algorithm for pure Yang-Mills gauge theory for both heat bath and hybrid Monte Carlo evolution, and show that it ameliorates the problem of topological freezing up to controllable lattice spacing artifacts.

Comments: 29 pages, 19 figures; Eq. 7 - Eq. 9 modified (results unchanged); text added to Sec IV F; typos fixed; matches published version