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 the specific heat and latent heat disagree, possibly due to mixed-phase effects.
Progress in $Sp(2N)$ lattice gauge theories
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abstract
Lattice studies of gauge theories with symplectic gauge groups provide valuable information about gauge dynamics, and complement the results of lattice investigations focused on unitary gauge groups. These theories play a central role in phenomenological contexts such as composite Higgs and strongly interacting dark matter models. We report on recent progress of our lattice research programme, starting from the glueball mass spectrum and the topology of the pure gauge theory. We present our results on the mass spectrum of mesons in the quenched approximation, by varying the number of colours in the symplectic group. For the $Sp(4)$ theory, we focus on results obtained with dynamical fermion matter content comprising both fundamental and 2-index antisymmetric representations of the gauge group, as dictated by a well known model of composite Higgs with partial top compositeness.
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Updates on the density of states method in finite temperature symplectic gauge theories
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 the specific heat and latent heat disagree, possibly due to mixed-phase effects.