Advances in using density of states for large-N Yang–Mills
F. Springer*, D. Schaich and for the Lattice Strong Dynamics (LSD) Collaboration
January 30, 2023
April 06, 2023
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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