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Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

Ed Bennett Orcid Logo, Deog Ki Hong, Jong-Wan Lee, C.-J. David Lin, Biagio Lucini Orcid Logo, Michele Mesiti Orcid Logo, Maurizio Piai Orcid Logo, Jarno Rantaharju Orcid Logo, Davide Vadacchino

Physical Review D, Volume: 101, Issue: 7, Pages: 074516-1 - 074516-46

Swansea University Authors: Ed Bennett Orcid Logo, Biagio Lucini Orcid Logo, Michele Mesiti Orcid Logo, Maurizio Piai Orcid Logo, Jarno Rantaharju Orcid Logo

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Abstract

We perform lattice studies of meson mass spectra and decay constants of the Sp(4) gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter eld content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respective...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa53899
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Abstract: We perform lattice studies of meson mass spectra and decay constants of the Sp(4) gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter eld content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respectively. All matter elds are formulated as Wilson fermions. We extrapolate to the continuum and massless limits, and compare to each other the results obtained for the two species of mesons. In the case of two fundamental and three antisymmetric fermions, the long-distance dynamics is relevant for composite Higgs models. This is the rst lattice study of this class of theories. The global SU(4) SU(6) symmetry is broken to the Sp(4) SO(6) subgroup, and the condensates align with the explicit mass terms present in the lattice formulation of the theory. The main results of our quenched calculations are that, with fermions in the 2-index antisymmetricrepresentation of the group, the masses squared and decay constant squared of all the mesons we considered are larger than the corresponding quantities for the fundamental representation, by factors that vary between 1:2 and 2:7. We also present technical results that will be useful for future lattice investigations of dynamical simulations, of composite chimera baryons, and of the approach to large-N in the Sp(2N) theories considered. We briefly discuss their high-temperature behaviour, where symmetry restoration and enhancement are expected.
College: Faculty of Science and Engineering
Issue: 7
Start Page: 074516-1
End Page: 074516-46