Asymptotic mass spectrum and thermodynamics of the Abelian bag model

Research output: Contribution to journalArticlepeer-review

102 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)2444-2453
Number of pages10
JournalPhysical Review D
Issue number10
StatePublished - 1981


Dive into the research topics of 'Asymptotic mass spectrum and thermodynamics of the Abelian bag model'. Together they form a unique fingerprint.

Cite this