The Kentucky Noisy Monte Carlo Algorithm for Wilson Dynamical Fermions

TL;DR

This paper introduces a Noisy Monte Carlo algorithm for lattice QCD with dynamical fermions, directly incorporating the fermion determinant and comparing its efficiency to Hybrid Monte Carlo.

Contribution

It develops a new implementation of the Noisy Monte Carlo method for Wilson fermions, including gauge coupling tuning and estimator analysis.

Findings

The algorithm effectively estimates fermion determinants.

Comparison shows competitive efficiency with Hybrid Monte Carlo.

Results include basic observable measurements and autocorrelation analysis.

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