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Hybrid Monte Carlo algorithm with fat link fermion actions

2004/03/19 by Waseem Kamleh, Derek B. Leinweber, Anthony G. Williams · 10 citations
Mathematics · Physics and Astronomy · #Algorithm #Fermion #Gauge theory #High-Energy Particle Collisions Research #Lattice gauge theory #Mathematics #Monte Carlo method #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #hep-lat

paper · pdf · doi:10.1103/physrevd.70.014502

published as Phys.Rev.D70:014502,2004

arxiv created 2004/03/19 · openalex publication_date 2004/07/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The use of APE smearing or other blocking techniques in lattice fermion actions can provide many advantages. There are many variants of these fat link actions in lattice QCD currently, such as flat link irrelevant clover (FLIC) fermions. The FLIC fermion formalism makes use of the APE blocking technique in combination with a projection of the blocked links back into the special unitary group. This reunitarization is often performed using an iterative maximization of a gauge invariant measure. This technique is not differentiable with respect to the gauge field and thus prevents the use of standard Hybrid Monte Carlo simulation algorithms. The use of an alternative projection technique circumvents this difficulty and allows the simulation of dynamical fat link fermions with standard HMC and its variants. The necessary equations of motion for FLIC fermions are derived, and some initial simulation results are presented. The technique is more general however, and is straightforwardly applicable to other smearing techniques or fat link actions.

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