A New Relativistic High Temperature Bose-Einstein Condensation

Abstract

We discuss the properties of an ideal relativistic gas of events possessing Bose-Einstein statistics. We find that the mass spectrum of such a system is bounded by $\mu \le m\le 2M/{\mu }_K,$ where $\mu$ is the usual chemical potential, $M$ is an intrinsic dimensional scale parameter for the motion of an event in space-time, and ${\mu }_K$ is an additional mass potential of the ensemble. For the system including both particles and antiparticles, with nonzero chemical potential $\mu ,$ the mass spectrum is shown to be bounded by $|\mu |\le m\le 2M/{\mu }_K,$ and a special type of high-temperature Bose-Einstein condensation can occur. We study this Bose-Einstein condensation, and show that it corresponds to a phase transition from the sector of continuous relativistic mass distributions to a sector in which the boson mass distribution becomes sharp at a definite mass $M/{\mu }_K.$ This phenomenon provides a mechanism for the mass distribution of the particles to be sharp at some definite value.

Latex, 22 pages

References in corpus (4)

• Bose-Einstein Condensation in Compactified Spaces
• Bose-Einstein condensation for interacting scalar fields in curved spacetime
• Bose-Einstein condensation as symmetry breaking in compact curved spacetimes
• Thermodynamics of Ideal Boson and Fermion Gases in the Static Taub Universe

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