A New Relativistic High Temperature Bose-Einstein Condensation

TL;DR

This paper explores a relativistic Bose-Einstein condensation in an ideal gas of events, revealing a phase transition that sharpens the mass distribution at a specific value, with implications for particle mass spectra.

Contribution

It introduces a novel relativistic model of Bose-Einstein condensation with a bounded mass spectrum and describes a phase transition to a sharp mass distribution.

Findings

High-temperature Bose-Einstein condensation occurs in the relativistic system.

The mass spectrum is bounded by specific chemical potential and intrinsic parameters.

A phase transition leads to a sharp mass distribution at a definite mass.

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 $\mu \leq m\leq 2M/\mu _K,$ 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 $|\mu |\leq m\leq 2M/\mu _K,$ 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.