Higher Order Hybrid Monte Carlo at Finite Temperature
Tetsuya Takaishi

TL;DR
This paper investigates the use of higher order integrators in hybrid Monte Carlo algorithms for lattice QCD, demonstrating improved performance at finite temperature with a 4th order integrator.
Contribution
It introduces the application of higher order integrators in hybrid Monte Carlo for lattice QCD, showing performance gains at finite temperature phases.
Findings
4th order integrator improves performance at finite temperature
Higher order integrators can outperform second order ones in specific phases
Performance gains depend on the phase of the lattice QCD simulation
Abstract
The standard hybrid Monte Carlo algorithm uses the second order integrator at the molecular dynamics step. This choice of the integrator is not always the best. Using the Wilson fermion action, we study the performance of the hybrid Monte Carlo algorithm for lattice QCD with higher order integrators in both zero and finite temperature phases and find that in the finite temperature phase the performance of the algorithm can be raised by use of the 4th order integrator.
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