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 Piai; Davide Vadacchino

doi:10.48550/arxiv.2310.02111

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 Piai, Davide Vadacchino

School of Engineering, Computing and Mathematics

Research output: Working paper › Preprint

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Abstract

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.

Original language	Undefined/Unknown
DOIs	https://doi.org/10.48550/arxiv.2310.02111
Publication status	Published - 3 Oct 2023

Keywords

hep-lat
hep-ph

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10.48550/arxiv.2310.02111

grid_latticeFinal published version, 788 KBLicence: CC BY-NC-ND

Cite this

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AU - Forzano, Niccolò

AU - Bennett, Ed

AU - Boyle, Peter

AU - Debbio, Luigi Del

AU - Hong, Deog Ki

AU - Lee, Jong-Wan

AU - Lenz, Julian

AU - Lin, C. -J. David

AU - Lucini, Biagio

AU - Lupo, Alessandro

AU - Piai, Maurizio

AU - Vadacchino, Davide

N1 - 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

PY - 2023/10/3

Y1 - 2023/10/3

N2 - 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.

AB - 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.

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