TY - JOUR

T1 - New relativistic high-temperature Bose-Einstein condensation

AU - Burakovsky, L.

AU - Horwitz, L. P.

AU - Schieve, W. C.

PY - 1996

Y1 - 1996

N2 - 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 [Formula presented], where [Formula presented] is the usual chemical potential, [Formula presented] is an intrinsic dimensional scale parameter for the motion of an event in space time, and [Formula presented] is an additional mass potential of the ensemble. For the system including both particles and antiparticles, with a nonzero chemical potential [Formula presented], the mass spectrum is shown to be bounded by [Formula presented], 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 [Formula presented]. This phenomenon provides a mechanism for the mass distribution of the particles to be sharp at some definite value.

AB - 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 [Formula presented], where [Formula presented] is the usual chemical potential, [Formula presented] is an intrinsic dimensional scale parameter for the motion of an event in space time, and [Formula presented] is an additional mass potential of the ensemble. For the system including both particles and antiparticles, with a nonzero chemical potential [Formula presented], the mass spectrum is shown to be bounded by [Formula presented], 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 [Formula presented]. This phenomenon provides a mechanism for the mass distribution of the particles to be sharp at some definite value.

UR - http://www.scopus.com/inward/record.url?scp=0042393577&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.54.4029

DO - 10.1103/PhysRevD.54.4029

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AN - SCOPUS:0042393577

SN - 1550-7998

VL - 54

SP - 4029

EP - 4038

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

ER -