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A Polynomial Hybrid Monte Carlo Algorithm

Roberto Frezzotti, Karl Jansen

Abstract

We present a simulation algorithm for dynamical fermions that combines the multiboson technique with the Hybrid Monte Carlo algorithm. We find that the algorithm gives a substantial gain over the standard methods in practical simulations. We point out the ability of the algorithm to treat fermion zeromodes in a clean and controllable manner.

A Polynomial Hybrid Monte Carlo Algorithm

Abstract

We present a simulation algorithm for dynamical fermions that combines the multiboson technique with the Hybrid Monte Carlo algorithm. We find that the algorithm gives a substantial gain over the standard methods in practical simulations. We point out the ability of the algorithm to treat fermion zeromodes in a clean and controllable manner.

Paper Structure

This paper contains 23 equations, 1 figure, 3 tables.

Figures (1)

  • Figure 1: The blocked jack-knife errors for the lowest eigenvalue $\lambda_{min}(\hat{Q}^2)$ from the HMC algorithm (filled squares). $N_b$ is the binning block length. The dashed line ist the estimate for the blocked error from the integrated autocorrelation time in the HMC algorithm. The shaded region is the estimate for the true error from the PHMC algorithm.