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.
Advances in using density of states for large-N Yang--Mills
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abstract
We present work in progress using the Logarithmic Linear Relaxation (LLR) density of states algorithm to analyse first-order phase transitions in pure-gauge SU(N) Yang--Mills theories, focusing on N = 4 and 6. By using the LLR algorithm we aim to avoid super-critical slowing down at such transitions. Motivation for this study comes from composite dark matter models, which may feature a first-order confinement transition in the early Universe that would produce a background of gravitational waves. Improving our understanding of these phase transitions will help probe these models using observations from future gravitational-wave observatories. In addition to the confinement transition, we also analyze bulk phase transitions of the lattice theories, which feature much larger latent heat.
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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.