https://doi.org/10.1140/epjc/s10052-010-1497-x
A minimal quasiparticle approach for the QGP and its large-N c limits
Service de Physique Nucléaire et Subnucléaire, Université de Mons—UMONS, Place du Parc 20, 7000, Mons, Belgium
Received:
21
July
2010
Revised:
20
September
2010
Published online:
19
November
2010
We propose a quasiparticle approach allowing to compute the equation of state of a generic gauge theory with gauge group SU(N
c
) and quarks in an arbitrary representation. Our formalism relies on the thermal quasiparticle masses (quarks and gluons) computed from perturbative techniques, in which the standard two-loop running coupling constant is used. Our model is minimal in the sense that we do not allow any extra ansatz concerning the temperature-dependence of the running coupling. We first show that it is able to reproduce the most recent equations of state computed on the lattice for temperatures typically higher than 2T
c
. Well above T
c
indeed, an ideal-gas framework with thermal masses is expected to be relevant. Then we study the accuracy of various inequivalent large-N
c
limits concerning the description of the QCD results, as well as the equivalence between the QCD
AS
limit and the 
SUSY Yang–Mills theory.
© Springer-Verlag / Società Italiana di Fisica, 2010
