Improved topological sampling for lattice gauge theories
Abstract
Standard sampling algorithms for lattice QCD suffer from topology freezing (or critical slowing down) when approaching the continuum limit, thus leading to poor sampling of the distinct topological sectors. I will present a modified Hamiltonian Monte Carlo (HMC) algorithm that triggers topological sector jumps during the assembly of Markov chain of lattice configurations. We study its performance in the 2D Schwinger model and compare it to alternative methods, such as fixing topology or master field. We then briefly discuss the difficulties of the algorithm in a SU(2) gauge model in 4D.
Cite
@article{arxiv.2111.05745,
title = {Improved topological sampling for lattice gauge theories},
author = {David Albandea and Pilar Hernández and Alberto Ramos and Fernando Romero-López},
journal= {arXiv preprint arXiv:2111.05745},
year = {2021}
}
Comments
10 pages, 8 figures. Contribution to the 38th International Symposium on Lattice Field Theory (LATTICE21), 26-30 July 2021, Zoom/Gather@Massachusetts Institute of Technology