Finite- and infinite-volume thermodynamics around the zero of the pressure in deconfining SU(2) Quantum Yang-Mills theory

TL;DR

This paper investigates the thermodynamics of deconfining SU(2) Yang-Mills theory near zero pressure, correcting previous numerical errors and analyzing plasma oscillations within vortex structures, with implications for electromagnetic emission.

Contribution

It rectifies a numerical error in estimating vortex core radius and explores plasma oscillations in deconfining phase regions, advancing understanding of thermodynamics in SU(2) Yang-Mills theory.

Findings

Corrected the estimate of vortex core radius r_0.

Computed lowest plasma oscillation frequency Ω_0 as a function of radius R_0.

Discussed implications for electromagnetic radiation emission from plasma balls.

Abstract

We re-address the self-intersection region in a figure-eight shaped center-vortex loop containing a frequently perturbed {\sl BPS monopole} subject to a core-oscillation frequency $\omega_0$, rectifying a numerical error in estimating the system's radius $r_0$ in comparison to the spatial coarse-graining scale of infinite-volume thermodynamics. Implications are discussed. We also compute the lowest frequency $\Omega_0$ of a spherically symmetric plasma oscillation within a {\sl neutral} and spatially homogeneous ball-like region of deconfining phase in dependence of its radius $R_0$. For $r_0=R_0$ we compare $\omega_0$ with $\Omega_0$. We point out how the idealisations, which are assumed in this work, will have to be relaxed in order to address the emission of electromagnetic radiation and of non-intersecting as well as self-intersecting center-vortex loops away from the surface region of macroscopically sized plasma balls.