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Progress in the lattice simulations of Sp(2N) gauge theories

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arxiv 1811.00276 v1 pith:VJRQOFHT submitted 2018-11-01 hep-lat hep-ph

Jong-Wan Lee , Ed Bennett , Deog Ki Hong , C.-J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino This is my paper · ORCID
classification hep-lathep-ph
keywords latticediracgaugesimulationstheoriesfermionsintroducemeson
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We report on the status of our programme to simulate Sp($2N$) gauge theories on the lattice. Motivated by the potential realization of an SU($4$)/Sp($4$)$\sim$SO($6$)/SO($5$) composite Higgs model and the applications to self interacting dark matter, we first perform dynamical simulations of Sp($4$) theories with two Dirac flavors in the fundamental representation. Preliminary results of the meson spectrum are presented, along with discussion of the lattice systematics. We also introduce two-index anti-symmetric Dirac fermions. Such fermions are relevant in the context of partial top compositeness, provided they carry SU($3$) color quantum numbers, and hence we introduce three (Dirac) copies of them. We present the quenched meson spectrum and explore the phase space of bare lattice parameters. For all the numerical simulations we use the standard Wilson lattice gauge and fermion actions.

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Cited by 3 Pith papers

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  1. Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Lattice simulations of Sp(4) with three antisymmetric Dirac fermions find QCD-like confinement and chiral symmetry breaking, and provide a first continuum-extrapolated meson spectrum.

  2. Finite-temperature Yang-Mills theories with the density of states method: towards the continuum limit

    hep-lat 2025-09 unverdicted novelty 5.0 of 10

    Density-of-states lattice study of the first-order phase transition in Sp(4) Yang-Mills theory at finite temperature, confirming metastability and surface tension for two temporal extents toward the continuum limit.

  3. Updates on the density of states method in finite temperature symplectic gauge theories

    hep-lat 2024-11 conditional novelty 4.0 of 10

    LLR simulations of Sp(4) pure gauge theory at finite temperature show that the plaquette distribution at the deconfinement critical point has a plateau between the two peaks, and the thermodynamic extrapolations of th...

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