使用南布力学的格QCD广义HMC

IF 5.3 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

{"title":"使用南布力学的格QCD广义HMC","authors":"Erik Lundstrum","doi":"10.1103/physrevd.111.034512","DOIUrl":null,"url":null,"abstract":"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 ","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"347 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized HMC using Nambu mechanics for lattice QCD\",\"authors\":\"Erik Lundstrum\",\"doi\":\"10.1103/physrevd.111.034512\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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 \",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"347 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-02-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevd.111.034512\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.034512","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}

引用次数: 0

摘要

我们描述了混合蒙特卡罗（HMC）算法的推广，其中分子动力学步骤利用Nambu广义哈密顿动力学。南布力学包含多个哈密顿函数。在Metropolis接受/拒绝步骤中使用这些哈密顿量之一足以保证正确的目标分布。其他哈密顿量可以包括规范场的任意函数。我们研究了具有两个哈密顿量的最简单情况，并选择第二个例子来包含规范域的非局部函数。通过这种方式，链接可以通过远程链接变量的即时知识进行更新。这代表了一种很有前途的方法来减少晶格QCD模拟中的临界慢化。2025年由美国物理学会出版

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.