Critical temperature of deconfinement in a constrained space using a bag model at vanishing baryon density

TL;DR

This paper calculates how the critical temperature for deconfinement in quark-gluon plasma shifts when confined in a finite box, using the MIT bag model at zero baryon density, relevant for heavy ion collision fireball geometries.

Contribution

It provides an explicit calculation of the deconfinement critical temperature in a constrained space within the MIT bag model, highlighting the effect of spatial confinement.

Findings

Critical temperature increases in a finite box compared to infinite space.

Finite geometry influences the phase transition point in quark-gluon plasma.

Results are relevant for understanding fireball conditions in heavy ion collisions.

Abstract

The geometry of fireballs in relativistic heavy ion collisions is approximated by a static box, which is infinite in two directions while finite in the other direction. The critical temperature of deconfinement phase transition is calculated explicitly in the MIT bag model at vanishing baryon density. It is found that the critical temperature shifts to a value higher than that in an unconstrained space.