finite temperature correlation function of two dissipative massive scalar fields: thermofield approach

The present paper aims at investigating the manner of two dissipative massive scalar fields. two massive scalar fields that interact with a reservoir were considered and a reservoir was modeled by continuum kleingordon fields. the lagrangian of the total system was canonically quantized and the dynamics of the system was determined using the eulerlagrange equation. then, the explicit form of the quantum massive scalar fields in longtime limit were observed. the propagator of the system and correlation functions were calculated at finite temperature in the thermofield dynamics formalizem.