Lattice seminars @ BicQCD

Fighting topological freezing in SU($N$) Yang-Mills theories with the PTBC algorithm

by Andrea Giorgieri (University of Pisa)

Europe/Zurich
Room 5017 (Building U2 - Quantum)

Room 5017

Building U2 - Quantum

Piazza della Scienza, 3, 20126 Milano MI
Description

The Parallel Tempering on Boundary Conditions (PTBC) algorithm is highly efficient in decorrelating the topological charge of lattice gauge theories, significantly improving the determination of topological observables at equal computational effort compared to standard algorithms. Also, it allows not to rely on the projection to the trivial topological sector, sometimes used as a workaround to topological freezing, thus avoiding the power-law finite-volume corrections arising from a fixed topology. We review two applications of the PTBC algorithm in the simulation of SU($N$) Yang--Mills theories: the determination of the renormalized coupling in the Twisted Gradient Flow scheme and the scale setting via gradient flow. Moreover, we discuss an implementation of the Multicanonical Monte Carlo method designed to improve the efficiency of the PTBC algorithm when topological fluctuations are physically suppressed.

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