Confinement Bubble Wall Velocity via Quasiparticle Determination

TL;DR

This paper uses lattice simulations and quasiparticle models to estimate the bubble wall velocity during the deconfinement-confinement phase transition in pure SU(N>2) Yang-Mills theory, finding it to be approximately 0.04.

Contribution

It introduces an effective quasigluon distribution function to microscopically calculate the confinement bubble wall velocity, a novel approach in this context.

Findings

Bubble wall velocity is approximately 0.04.

The approach aligns qualitatively with holographic results.

First microscopical calculation of wall velocity in this system.

Abstract

Lattice simulations reveal that the deconfinement-confinement (D-C) phase transition (PT) of the hot pure $SU(N>2)$ Yang-Mills system is first order. This system can be described by a pool of quasigluons moving in the Polyakov loop background, and in this picture, we establish an effective distribution function for quasigluons, which encodes interactions among quasigluons and in particular the confinement effect. With it, we made the first attempt to calculate the confinement bubble wall velocity $v_w$ at the microscopical level, and we obtained a small velocity $v_w\sim 0.04$ using two different approaches, which is qualitatively consistent with others results like holography.