Bogolubov's chain of equations method for temperature Wightman functions in thermodynamics of relativistic phase transition

Abstract

Bogolubov's chain of equations method for temperature Wightman functions is suggested for investigation of relativistic phase transition. The chain equations for the Wightman functions forming momentum--energy tensor are obtained. It is clarified that structure of the chain equations determines the basis approximation (the Hartree - Fock approximation) and corrections calculation algorithm. The basis approximation is investigated in details: renormalized equations for effective masses, order parameter and generating functional which reproduce those equations are obtained. Being considered on the solution of the gap equations for the effective masses the generating functional turns to nonequilibrium functional of free energy density, which allows to obtain phases stability conditions. Thermodynamic observables like heat capacity and sonic speed are calculated. The correction to the Hartree-Fock approximations is ascertained to be small for all temperatures excluding vicinity of the phases equilibrium point.