Abstract :
[en] In this paper, the thermodynamic properties of N = 1 supersymmetric Yang-Mills theory with an arbitrary gauge
group are investigated. In the confined range, we show that identifying the bound state spectrum with a
Hagedorn one coming from noncritical closed superstring theory leads to a prediction for the value of the
deconfining temperature Tc that agrees with recent lattice data. The deconfined phase is studied by resorting
to a T-matrix formulation of statistical mechanics in which the medium under study is seen as a gas of
quasigluons and quasigluinos interacting nonperturbatively. Emphasis is put on the temperature range (1-5)
T_c, where the interactions are expected to be strong enough to generate bound states. Binary bound states of
gluons and gluinos are indeed found to be bound up to 1.4 T_c for any gauge group. The equation of state is
then computed numerically for SU(N) and G_2, and discussed in the case of an arbitrary gauge group. It is
found to be nearly independent of the gauge group and very close to that of nonsupersymmetric Yang-Mills when
normalized to the Stefan-Boltzmann pressure and expressed as a function of T/T_c.
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