HMC algorithm with multiple time scale integration and mass preconditioning

• DOI: 10.1016/j.cpc.2005.08.006
• Publication Date: 2005-09-30T07:17:14Z
• Authors: C. Urbach; K. Jansen; A. Shindler; U. Wenger
• Keywords: High Energy Physics - Lattice (hep-lat); fermion: lattice field theory; FOS: Physical sciences; 01 natural sciences; quark: mass; High Energy Physics - Lattice; 0103 physical sciences; gauge field theory: SU(3); flavor: 2; numerical methods: Monte Carlo; info:eu-repo/classification/ddc/004; performance

We present a variant of the HMC algorithm with mass preconditioning (Hasenbusch acceleration) and multiple time scale integration. We have tested this variant for standard Wilson fermions at beta=5.6 and at pion masses ranging from 380 MeV to 680 MeV. We show that in this situation its performance is comparable to the recently proposed HMC variant with domain decomposition as preconditioner. We give an update of the ``Berlin Wall'' figure, comparing the performance of our variant of the HMC algorithm to other published performance data. Advantages of the HMC algorithm with mass preconditioning and multiple time scale integration are that it is straightforward to implement and can be used in combination with a wide variety of lattice Dirac operators.<br/>27 pages, 4 figures, revised version: typos corrected, reference added, minor other changes, accepted for publication in Comp. Phys. Commun<br/>