Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia

TL;DR

This paper investigates how rapid rotation influences the phase boundary of hot, dense hadronic matter, showing that rotation lowers the deconfinement temperature and analyzing the moment of inertia using a parameter-free model.

Contribution

It provides a parameter-free analysis of the deconfinement boundary shift due to rotation and estimates the moment of inertia in rotating hot and dense matter.

Findings

Rotation decreases the deconfinement temperature.

Rotation shifts the phase boundary of hadronic matter.

The moment of inertia is semi-quantitatively estimated.

Abstract

We discuss the effect of rapid rotation on the phase diagram of hadronic matter. The energy dispersion relation is shifted by an effective chemical potential induced by rotation. This suggests that rotation should lower the critical temperature of chiral restoration, but it is still controversial how the deconfinement temperature should change as a function of angular velocity. We adopt the hadron resonance gas model as an approach free from fitting parameters. We identify the deconfinement from the thermodynamic behavior and find that rotation decreases the deconfinement temperature. We also discuss the spatial inhomogeneity of the pressure and give a semi-quantitative estimate of the moment of inertia.