Performance Tests of the Kramers Equation and Boson Algorithms for Simulations of QCD

TL;DR

This paper compares the performance of Kramers equation and boson algorithms in simulating QCD with dynamical Wilson fermions on various lattice sizes, highlighting their efficiencies after optimizations.

Contribution

It provides a direct performance comparison of two algorithms for QCD simulations, including implementation details and optimization effects.

Findings

Kramers equation performs comparably to boson algorithms on tested lattices.

Optimizations improve the efficiency of both algorithms.

Results are based on simulations on multiple lattice sizes.

Abstract

We present a performance comparison of the Kramers equation and the boson algorithms for simulations of QCD with two flavors of dynamical Wilson fermions and gauge group $SU(2)$. Results are obtained on $6^312$, $8^312$ and $16^4$ lattices. In both algorithms a number of optimizations are installed.