Finite-temperature Sp(4) Yang-Mills theory: towards the continuum

TL;DR

This paper investigates the finite-temperature phase transition in Sp(4) Yang-Mills theory using lattice simulations and the LLR algorithm, providing insights into continuum limits and transition characteristics.

Contribution

It introduces a lattice study of Sp(4) Yang-Mills theory at finite temperature, employing the LLR algorithm to analyze the phase transition and estimate continuum properties.

Findings

Identified clear signatures of a first-order phase transition.

Estimated critical coupling, specific heat, and surface tension.

Set bounds for the continuum theory based on finite lattice results.

Abstract

We present numerical results obtained in a finite-temperature study of the Sp(4) Yang-Mills theory on the lattice. We study its first-order confinement/deconfinement phase transition, by reconstructing the density of states via the Logarithmic Linear Relaxation (LLR) algorithm. We perform our measurements on lattices with different extents of space and time (and aspect ratios). We estimate the size of discretisation and finite-volume artefacts. We find clear signatures of a first-order transition. We determine the critical coupling, the specific heat, and the surface tension, for finite extents of the thermal circle, and use the results to set bounds for the continuum theory.