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 μ<=m<=2M/μK, where μ is the usual chemical potential, M is an intrinsic dimensional scale parameter for the motion of an event in space time, and μK 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/μK, 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/μK. 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:hep-th/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
- E-Print:
- Latex, 22 pages