TY - JOUR

T1 - Asymptotic mass spectrum and thermodynamics of the Abelian bag model

AU - Kapusta, J. I.

PY - 1981

Y1 - 1981

N2 - A statistical evaluation of the mass spectrum in the bag model is made using the microcanonical ensemble. The mass spectrum behaves asymptotically as (m)cm-3exp(mT0), where c and T0 depend on the bag constant, on the number of degrees of freedom of massless elementary fields in the bag, and on whether those fields obey Bose-Einstein, Fermi-Dirac, or Maxwell-Boltzmann statistics. Hence this model satisfies the strong bootstrap condition. The case of eight elementary Abelian vector fields is focused on. The thermodynamics of a system of such composite hadrons naively exhibits a maximum temperature T0. However, due to the finite size of hadrons, many-body effects cause the mass spectrum to have a density-dependent cutoff. A first-order phase transition to a gas of free elementary fields is found at a temperature Tc=1.05 T0.

AB - A statistical evaluation of the mass spectrum in the bag model is made using the microcanonical ensemble. The mass spectrum behaves asymptotically as (m)cm-3exp(mT0), where c and T0 depend on the bag constant, on the number of degrees of freedom of massless elementary fields in the bag, and on whether those fields obey Bose-Einstein, Fermi-Dirac, or Maxwell-Boltzmann statistics. Hence this model satisfies the strong bootstrap condition. The case of eight elementary Abelian vector fields is focused on. The thermodynamics of a system of such composite hadrons naively exhibits a maximum temperature T0. However, due to the finite size of hadrons, many-body effects cause the mass spectrum to have a density-dependent cutoff. A first-order phase transition to a gas of free elementary fields is found at a temperature Tc=1.05 T0.

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U2 - 10.1103/PhysRevD.23.2444

DO - 10.1103/PhysRevD.23.2444

M3 - Article

AN - SCOPUS:0001195126

VL - 23

SP - 2444

EP - 2453

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

ER -