The Kentucky Noisy Monte Carlo Algorithm for Wilson Dynamical Fermions

Abstract

We develop an implementation for a recently proposed Noisy Monte Carlo approach to the simulation of lattice QCD with dynamical fermions by incorporating the full fermion determinant directly. Our algorithm uses a quenched gauge field update with a shifted gauge coupling to minimize fluctuations in the trace log of the Wilson Dirac matrix. The details of tuning the gauge coupling shift as well as results for the distribution of noisy estimators in our implementation are given. We present data for some basic observables from the noisy method, as well as acceptance rate information and discuss potential autocorrelation and sign violation effects. Both the results and the efficiency of the algorithm are compared against those of Hybrid Monte Carlo. PACS Numbers: 12.38.Gc, 11.15.Ha, 02.70.Uu Keywords: Noisy Monte Carlo, Lattice QCD, Determinant, Finite Density, QCDSP

30 pages, 6 figures

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• Finite Density Algorithm in Lattice QCD -- a Canonical Ensemble Approach
• Odd-flavor Hybrid Monte Carlo Algorithm for Lattice QCD
• Simulation of dynamical fermions with smeared links
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