Tuning the generalized Hybrid Monte Carlo algorithm

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4 pages, to be published in the Proceedings of Lattice 95, uuencoded PostScript file

Scientific paper

10.1016/0920-5632(96)00173-9

We discuss the analytic computation of autocorrelation functions for the generalized Hybrid Monte Carlo algorithm applied to free field theory and compare the results with numerical results for the $O(4)$ spin model in two dimensions. We explain how the dynamical critical exponent $z$ for some operators may be reduced from two to one by tuning the amount of randomness introduced by the updating procedure, and why critical slowing down is not a problem for other operators.

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