Odd-flavor Hybrid Monte Carlo Algorithm for Lattice QCD

TL;DR

This paper introduces an exact hybrid Monte Carlo algorithm for simulating odd-flavor lattice QCD using polynomial approximations and stochastic correction, validated through tests on various flavor configurations.

Contribution

The paper presents a novel exact hybrid Monte Carlo algorithm for odd-flavor lattice QCD incorporating polynomial approximation and stochastic correction methods.

Findings

Successfully tested for $n_f=1$, 1+1, and 2+1 flavors.

Compared results with existing algorithms, demonstrating effectiveness.

Achieved economical and exact simulation of odd-flavor QCD.

Abstract

We discuss hybrid Monte Carlo algorithms for odd-flavor lattice QCD simulations. The algorithms include a polynomial approximation which enables us to simulate odd-flavor QCD in the framework of the hybrid Monte Carlo algorithm. In order to make the algorithms exact, the correction factor to the polynomial approximation is also included in an economical, stochastic way. We test the algorithms for $n_f=1$, 1+1 and 2+1 flavors and compare results with other algorithms.