A Novel Multiple-Time Scale Integrator for the Hybrid Monte Carlo Algorithm

Details A Novel Multiple-Time Scale Integrator for the Hybrid Monte Carlo Algorithm A Novel Multiple-Time Scale Integrator for the Hybrid Monte Carlo Algorithm

2011-01-04

arxiv.org/abs/1101.0651v1

AIP Conf.Proc.1354:58-63,2011

Physics

High Energy Physics

High Energy Physics - Lattice

Submitted to the proceedings of Tropical QCD II, held in Cairns, Australia, 2010

Scientific paper

Hybrid Monte Carlo simulations that implement the fermion action using multiple terms are commonly used. By the nature of their formulation they involve multiple integration time scales in the evolution of the system through simulation time. These different scales are usually dealt with by the Sexton-Weingarten nested leapfrog integrator. In this scheme the choice of time scales is somewhat restricted as each time step must be an exact multiple of the next smallest scale in the sequence. A novel generalisation of the nested leapfrog integrator is introduced which allows for far greater flexibility in the choice of time scales, as each scale now must only be an exact multiple of the smallest step size.

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