A full expression for the thermodynamic potential of a given system is
derived by the closed-time path approach. It is found with the aid of
the residue theorem that this real-form thermodynamic potential coinc
ides with corresponding imaginary one in the Matsubara formalism. Ther
modynamic potential in thermo field dynamics specified by a time-path
parameter sigma, 0 < sigma less than or equal to beta, is also derived
and briefly discussed.