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Riemannian Manifold HMC with fermions

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abstract

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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2024 1

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  • Extended framework for the hybrid Monte Carlo in lattice gauge theory hep-lat · 2024-12-27 · conditional · none · ref 15 · internal anchor

    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.