Higher Order Hybrid Monte Carlo at Finite Temperature

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.

13 pages, 6 figures

References in corpus (3)

• Polynomial Hybrid Monte Carlo algorithm for lattice QCD with an odd number of flavors
• Progress in lattice algorithms
• Odd-flavor Hybrid Monte Carlo Algorithm for Lattice QCD

Cited by in corpus (10)

• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• Lattice QCD with two dynamical flavors of domain wall quarks
• Simulation of Wilson fermion at finite isospin density
• Bayesian estimation of GARCH model by hybrid Monte Carlo
• Bayesian Inference of Stochastic Volatility Model by Hybrid Monte Carlo
• Financial Time Series Analysis of SV Model by Hybrid Monte Carlo
• Bayesian estimation of realized stochastic volatility model by Hybrid Monte Carlo algorithm
• Empirical Analysis of Stochastic Volatility Model by Hybrid Monte Carlo Algorithm
• GPU Computing in Bayesian Inference of Realized Stochastic Volatility Model
• Nf=1 QCD simulation with improved gauge action at finite temperature