New relativistic hightemperature BoseEinstein condensation
Abstract
We discuss the properties of an ideal relativistic gas of events possessing BoseEinstein statistics. We find that the mass spectrum of such a system is bounded by μ<=m<=2M/μ_{K}, where μ is the usual chemical potential, M is an intrinsic dimensional scale parameter for the motion of an event in space time, and μ_{K} is an additional mass potential of the ensemble. For the system including both particles and antiparticles, with a nonzero chemical potential μ, the mass spectrum is shown to be bounded by \μ\<=m<=2M/μ_{K}, and a special type of hightemperature BoseEinstein condensation can occur. We study this BoseEinstein 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/μ_{K}. This phenomenon provides a mechanism for the mass distribution of the particles to be sharp at some definite value.
 Publication:

Physical Review D
 Pub Date:
 September 1996
 DOI:
 10.1103/PhysRevD.54.4029
 arXiv:
 arXiv:hepth/9604039
 Bibcode:
 1996PhRvD..54.4029B
 Keywords:

 03.75.Fi;
 05.20.Gg;
 05.30.Ch;
 98.20.d;
 Classical ensemble theory;
 Quantum ensemble theory;
 Stellar clusters and associations;
 High Energy Physics  Theory
 EPrint:
 Latex, 22 pages