A Novel MultipleTime Scale Integrator for the Hybrid Monte Carlo Algorithm
Abstract
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 SextonWeingarten 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.
 Publication:

T(r)opical QCD II Workshop
 Pub Date:
 May 2011
 DOI:
 10.1063/1.3587586
 arXiv:
 arXiv:1101.0651
 Bibcode:
 2011AIPC.1354...58K
 Keywords:

 QCD;
 Monte Carlo methods;
 molecular dynamics method;
 fermions;
 12.38.Gc;
 24.10.Lx;
 02.70.Ns;
 05.30.Fk;
 Lattice QCD calculations;
 Monte Carlo simulations;
 Molecular dynamics and particle methods;
 Fermion systems and electron gas;
 High Energy Physics  Lattice
 EPrint:
 Submitted to the proceedings of Tropical QCD II, held in Cairns, Australia, 2010