Critical behavior of a relativistic Bose gas.

Abstract

We show that the thermodynamic behavior of relativistic ideal Bose gas, recently studied numerically by Grether etal., can be obtained analytically. Using the analytical results, we obtain the critical behavior of the relativistic Bose gas exactly for all the regimes. We show that these analytical results reduce to those of Grether etal. in different regimes of the Bose gas. Furthermore, we also obtain an analytically closed-form expression for the energy density for the Bose gas that is valid in all regimes.