Fermions and gauge vector mesons at finite temperature and density. III. The groundstate energy of a relativistic quark gas
Abstract
We calculate the groundstate energy of a quark gas up to and including effecs of fourth order in the quarkgluon coupling. Renormalizationgroup techniques are used to rewrite the results of the fourthorder calculation in terms of a chemicalpotentialdependent coupling. The chemicalpotentialdependent coupling approaches zero at high densities. We argue that at hadronic matter densities a phase transition between quark matter and hadronic matter occurs. We show the existence of this phase transition for a threecolor, oneflavor quark gas. We find a close correspondence between the results of quantum chromodynamics at large coupling with no bag constant and quantum chromodynamics at small coupling with a bag constant.
 Publication:

Physical Review D
 Pub Date:
 August 1977
 DOI:
 10.1103/PhysRevD.16.1169
 Bibcode:
 1977PhRvD..16.1169F