Comparing the R algorithm and RHMC for staggered fermions

Details Comparing the R algorithm and RHMC for staggered fermions Comparing the R algorithm and RHMC for staggered fermions

2002-09-03

arxiv.org/abs/hep-lat/0209035v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, proceedings from Lattice 2002 poster presentation

Scientific paper

10.1016/S0920-5632(03)01748-1

The R algorithm is widely used for simulating two flavours of dynamical staggered fermions. We give a simple proof that the algorithm converges to the desired probability distribution to within O(dt^2) errors, but show that the relevant expansion parameter is (dt/m)^2, m being the quark mass. The Rational Hybrid Monte Carlo (RHMC) algorithm provides an exact (i.e., has no step size errors) alternative for simulating the square root of the staggered Dirac operator. We propose using it to test the validity of the R algorithm for simulations carried out with dt m.

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