  We calculate the critical temperature and free energy of the gluon plasma
using the dilaton potential arXiv:0911.0627[hep-ph] in the gravity theory of
AdS/QCD. The finite temperature observables are calculated in two ways: first,
from the Page-Hawking computation of the free energy, and secondly using the
Bekenstein-Hawking proportionality of the entropy with the area of the horizon.
Renormalization is well defined, because the T=0 theory has asymptotic freedom.
We further investigate the change of the critical temperature with the number
of flavours induced by the change of the running coupling constant in the
quenched theory. The finite temperature behaviour of the speed of sound,
spatial string tension and vacuum expectation value of the Polyakov loop follow
from the corresponding string theory in AdS_5.

High Energy Physics - Phenomenology;High Energy Physics - Theory