Grid框架中的辛格点规范理论：畴壁费米子与连续极限外推
Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations
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中文总结 AI 辅助
本文首次在Sp(4)规范理论中采用莫比乌斯畴壁费米子进行格点模拟，测量介子质量与衰变常数并外推至连续极限，相比Wilson费米子显著提升计算效率。
中文摘要 AI 辅助
我们报告了在Sp(4)规范理论中首次使用畴壁费米子进行数值格点研究的成果，该理论耦合了两味（狄拉克）费米子，它们变换于规范群的基础表示。该理论在关于具有复合动力学的标准模型扩展的文献中扮演着重要角色。它为某一类复合希格斯模型，或者基于强相互作用大质量粒子范式的暗物质模型，提供了短距离完备化。我们采用了莫比乌斯形式的畴壁费米子（MDWF），并在Grid软件环境中实现。我们报告了算法实现的广泛测试结果，以及对MDWF作用量中出现的算法参数选择的优化。随后，我们在具有中等偏大费米子质量和多种格点耦合选择的系综上测量了最轻的带味介子的质量和衰变常数，并进行了连续极限外推。我们将物理可观测量的结果与在同一场论中但使用Wilson费米子在格点上获得的已发表测量结果进行了比较。我们证明，在部署适度计算资源的情况下，MDWF形式在接近连续极限时，在该理论现象学应用相关的物理参数空间区域内，可以获得数量级的增益。
英文摘要
We report the results of the first numerical lattice study using domain-wall fermions in the Sp(4) gauge theory coupled to two flavours of (Dirac) fermions, transforming in the fundamental representation of the gauge group. This theory plays a prominent role in the literature on extensions of the Standard Model with composite dynamics. It provides a short-distance completion for a class of composite Higgs models, or, alternatively, of dark matter models based on the strongly interacting massive particle paradigm. We adopt the Möbius formulation of domain-wall fermions (MDWF), implemented within the Grid software environment. We report the results of extensive tests of the algorithm implementation, and of the optimisation of the choices of algorithmic parameters appearing in the MDWF action. We then measure masses and decay constants of the lightest flavoured mesons in ensembles with moderately large fermion masses and several choices of lattice coupling, and perform an extrapolation to the continuum. We compare our results for the physical observables to published measurements obtained in the same field theory, but derived on the lattice by employing Wilson fermions. We demonstrate that, with the deployment of moderate computational resources, the MDWF formulation can yield order-of-magnitude gains in the approach to the continuum limit, in regions of physical parameter space relevant to phenomenological applications of this theory.
发表机构
- Swansea University（斯旺西大学）
- The University of Edinburgh（爱丁堡大学）
- Brookhaven National Laboratory（布鲁克海文国家实验室）
- Pusan National University（釜山国立大学）
- Institute for Basic Science (IBS)（基础科学研究院）
机构由 AI 辅助整理，请以论文原文为准。
