Bose-Einstein condensation in the Rindler space

Abstract

Based on the Unruh effect, we calculate the critical acceleration for the Bose-Einstein condensation in a free complex scalar field at finite density in the Rindler space. Our model corresponds to an ideal gas performing constantly accelerating motion in a Minkowski spacetime at zero temperature, where the gas is composed of the complex scalar particles, and is supposed to be in a thermal bath at some temperature by the Unruh effect. The critical Unruh temperature we obtain agrees with the usual result in the 4D Euclid space at finite temperature.