English

A multilevel algorithm for flow observables in gauge theories

High Energy Physics - Lattice 2016-04-13 v2

Abstract

We study the possibility of using multilevel algorithms for the computation of correlation functions of gradient flow observables. For each point in the correlation function an approximate flow is defined which depends only on links in a subset of the lattice. Together with a local action this allows for independent updates and consequently a convergence of the Monte Carlo process faster than the inverse square root of the number of measurements. We demonstrate the feasibility of this idea in the correlation functions of the topological charge and the energy density.

Keywords

Cite

@article{arxiv.1601.07155,
  title  = {A multilevel algorithm for flow observables in gauge theories},
  author = {Miguel García Vera and Stefan Schaefer},
  journal= {arXiv preprint arXiv:1601.07155},
  year   = {2016}
}

Comments

Minor modifications to the text. Version accepted to be published in PRD. 18 pages, 5 figures

R2 v1 2026-06-22T12:37:17.668Z