Lattice studies of Sp(2N) gauge theories using GRID
Niccolò Forzano, Ed Bennett, Peter Boyle, Luigi Del Debbio, Deog Ki Hong, Jong-Wan Lee, Julian Lenz, C. -J. David Lin, Biagio Lucini, Alessandro Lupo, Maurizio … 展开作者
Niccolò Forzano, Ed Bennett, Peter Boyle, Luigi Del Debbio, Deog Ki Hong, Jong-Wan Lee, Julian Lenz, C. -J. David Lin, Biagio Lucini, Alessandro Lupo, Maurizio Piai, Davide Vadacchino
备注：
9 pages, 7 figures, contribution for the 40th International Symposium on Lattice Field Theory (Lattice 2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory, presenting the results of the paper: arXiv:2306.11649
本文在 Grid 框架中用 Monte Carlo 方法实现 Sp(2N) 格点规范理论，并以耦合 Nas=4 个反对称表示 Wilson-Dirac 费米子的 Sp(4) 理论为例，报告首批算法与功能测试结果。
摘要：
基于辛李群的四维规范理论为若干新物理模型的微观起源提供了优雅的实现。在格点上开展的数值研究为唯象学应用提供了必要的定量信息。为此，我们在 Grid 中使用 Monte Carlo 技术实现了 Sp(2N) 规范理论；Grid 是一个高性能框架，专为在格点上对量子场论进行数值研究而设计。我们展示了使用该程序库获得的首批结果，重点研究 Sp(4) 理论这一案例，该理论耦合了 Nas=4 个以二指标反对称表示变换的 Wilson-Dirac 费米子。特别地，我们讨论了对该算法的初步测试，并测试了其部分主要功能。
英文摘要：
Four-dimensional gauge theories based on symplectic Lie groups provide elegant realisations of the microscopic origin of several new physics models. Numerical studies pursued on the lattice provide quantitative information necessary for phenomenological applications. To this purpose, we implemented Sp(2N) gauge theories using Monte Carlo techniques within Grid, a performant framework designed for the numerical study of quantum field theories on the lattice. We show the first results obtained using this library, focusing on the case-study provided by the Sp(4) theory coupled to Nas = 4 Wilson-Dirac fermions transforming in the 2-index antisymmetric representation. In particular, we discuss preliminary tests of the algorithm and we test some of its main functionalities.
