A self-consistent version of the Thermal Random Phase Approximation (TSCRPA)is developed within the Matsubara Green's Function (GF) formalism. The TSCRPAis applied to the many level pairing model. The normal phase of the system isconsidered. The TSCRPA results are compared with the exact ones calculated forthe Grand Canonical Ensemble. Advantages of the TSCRPA over the Thermal MeanField Approximation (TMFA) and the standard Thermal Random Phase Approximation(TRPA) are demonstrated. Results for correlation functions, excitationenergies, single particle level densities, etc., as a function of temperatureare presented.
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