Riemannian Manifold HMC with fermions

Abstract

We report on our study of the Riemannian Manifold HMC (RMHMC) algorithm with the mass term for the gauge momenta replaced by rational functions of the gauge covariant Laplace operator. A comparison of HMC and RMHMC on a 2+1+1 flavor dynamical ensemble with lattice spacing a ~0.05fm shows increased rate of change in long distance modes, identified by Wilson flowed energy, per fermion molecular dynamics step.

Comments: Proceedings of the 40th International Symposium on Lattice Field Theory (Lattice 2023), July 31st - August 4th, 2023, Fermilab, Batavia, Illinois, USA