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Riemannian Manifold HMC with fermions

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arxiv 2401.13226 v1 pith:WPINDK2B submitted 2024-01-24 hep-lat

Chulwoo Jung , Norman H. Christ This is my paper · ORCID
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keywords gaugemanifoldriemannianrmhmcalgorithmchangecomparisoncovariant
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We report on our study of the Riemannian Manifold HMC (RMHMC) algorithm with the mass term for the gauge momenta replaced by rational functions of the gauge covariant Laplace operator. A comparison of HMC and RMHMC on a 2+1+1 flavor dynamical ensemble with lattice spacing a ~0.05fm shows increased rate of change in long distance modes, identified by Wilson flowed energy, per fermion molecular dynamics step.

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Cited by 1 Pith paper

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  1. Extended framework for the hybrid Monte Carlo in lattice gauge theory

    hep-lat 2024-12 conditional novelty 7.0 of 10

    An exact hybrid Monte Carlo framework is built by embedding SU(N) into complex matrix space, enabling non-separable Hamiltonians like Riemannian manifold HMC in lattice gauge theory without gauge fixing.

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