Riemannian Manifold HMC with fermions

Chulwoo Jung, Norman H. Christ

Proceedings of The 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)(2024)

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摘要
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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