Kramers Equation Algorithm with Kogut-Susskind Fermions on Lattice

Details Kramers Equation Algorithm with Kogut-Susskind Fermions on Lattice Kramers Equation Algorithm with Kogut-Susskind Fermions on Lattice

1998-01-03

arxiv.org/abs/hep-lat/9801001v2

Phys.Lett. B430 (1998) 320-325

Physics

High Energy Physics

High Energy Physics - Lattice

revised version to appear in Phys. Lett. B, 9 pages, 3 ps figures

Scientific paper

10.1016/S0370-2693(98)00549-8

We compare the performance of the Kramers Equation Monte Carlo (KMC) Algorithm with that of the Hybrid Monte Carlo (HMC) algorithm for numerical simulations with dynamical Kogut-Susskind fermions. Using the lattice Gross-Neveu model in 2 space-time dimensions, we calculate the integrated autocorrelation time of different observables at a number of couplings in the scaling region on 16^2 and 32^2 lattices while varying the parameters of the algorithms for optimal performance. In our investigation the performance of KMC is always significantly below than that of HMC for the observables used. We also stress the importance of having a large number of configurations for the accurate estimation of the integrated autocorrelation time.

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