使用南布力学的格QCD广义HMC

IF 5 2区物理与天体物理 Q1 Physics and Astronomy Physical Review D Pub Date : 2025-02-25 DOI:10.1103/physrevd.111.034512

Erik Lundstrum

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Generalized HMC using Nambu mechanics for lattice QCD

We describe a generalization of the hybrid Monte Carlo (HMC) algorithm in which the molecular dynamics steps utilize Nambu generalized Hamiltonian dynamics. Nambu mechanics contains multiple Hamiltonian functions. Using one of these Hamiltonians in the Metropolis accept/reject step is enough to guarantee the correct target distribution. The other Hamiltonians can include arbitrary functions of the gauge field. We examine the simplest case with two Hamiltonians and choose the second to include nonlocal functions of the gauge field. In this way, the links are updated with instantaneous knowledge of far-separated link variables. This represents a promising method for reducing critical slowing down in lattice QCD simulations.

Published by the American Physical Society

2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.

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