Thermodynamics of a quark plasma beyond the mean field: A generalized Beth-Uhlenbeck approach

Journal Article · Thu Sep 01 04:00:00 EDT 1994 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1994.1080· OSTI ID:229962

Huefner, J; Klevansky, S P; Zhuang, P ^[1]

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1. Universitaet Heidelberg (Germany); and others

The thermodynamics of a quark plasma is studied within the two-flavour Nambu-jona-Lasinio model. After reviewing the results which are obtained in the mean-field approximation, including chiral and quark number susceptibilities, we treat the contributions to the thermodynamic potential which arise to order 1/N(sub c), where N(sub c) is the number of cloours. These contributions involve the (pi) and (alpha) mesons and the scattering properties of quarks. We express the thermodynamic potential in terms of the bound states and scattering phase shifts of a quark-antiquark pair. This result resembles the Beth-Uhlenbeck formula for the second virial coefficient for a gas of non-relativistic particles. Our results hold also for the relativistic case and inculde the influence of temperature and chemical potential on the S-matrix that arises as a consequence of these dependences in the collective excitations that are formed.

• OSTI ID: 229962
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 234; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COLLECTIVE EXCITATIONS
MESONS
QUANTUM CHROMODYNAMICS
QUARK MATTER
QUARK-GLUON INTERACTIONS
S MATRIX
THERMODYNAMICS