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Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions

2001/10/22 by Martin Hasenbusch, M. Hasenbusch, Karl Jansen +1 · 47 citations
Mathematics · Physics and Astronomy · #Algorithm #Computer science #Dynamic Monte Carlo method #Fermion #Hybrid Monte Carlo #Markov Chains and Monte Carlo Methods #Markov chain Monte Carlo #Mathematics #Monte Carlo method #Monte Carlo method in statistical physics #Monte Carlo molecular modeling #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum Monte Carlo #Quantum mechanics #Statistical physics #Statistics #hep-lat

paper · pdf · doi:10.1016/s0920-5632(01)01933-8

published in Nuclear Physics B - Proceedings Supplements 106-107, 1076-1078 (Elsevier BV) · Lattice2001 (Algorithms and Machines)

arxiv created 2001/10/22 · openalex publication_date 2002/03/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a modification of the Hybrid-Monte-Carlo algorithm that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is the splitting of the pseudo-fermion action into two parts. We test our proposal at the example of the two-dimensional lattice Schwinger model and four-dimensional lattice QCD with two degenerate flavours of Wilson- fermions.

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