A multilevel algorithm for flow observables in gauge theories

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.

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

References in corpus (5)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Infinite N phase transitions in continuum Wilson loop operators
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• Domain decomposition, multi-level integration and exponential noise reduction in lattice QCD

Cited by in corpus (10)

• Domain decomposition, multi-level integration and exponential noise reduction in lattice QCD
• The topological susceptibility in the large-N limit of SU(N) Yang-Mills theory
• On the Statistics of Baryon Correlation Functions in Lattice QCD
• Path integral contour deformations for noisy observables
• Proof of the renormalizability of the gradient flow
• Scaling properties of multiscale equilibration
• Multiscale Monte Carlo equilibration: Two-color QCD with two fermion flavors
• Lattice QCD noise reduction for bosonic correlators through blocking
• The large $N$ limit of the topological susceptibility of Yang-Mills gauge theory
• Large $N$ scaling and factorization in SU($N$) Yang-Mills gauge theory