Kinetic coefficients in the formalism of time-dependent Green's functions at finite temperature

TL;DR

This paper investigates the microscopic origins of dissipation in weakly interacting Fermi and Bose systems at finite temperature, linking Green's function decay and kinetic coefficients through diagrammatic analysis.

Contribution

It provides a microscopic derivation of the Onsager kinetic coefficient using the Keldysh-Schwinger framework and two-loop approximation.

Findings

Attenuation parameter relates to exponential decay of Green's functions.

Dissipation is connected to pinch singularities in diagrammatic techniques.

The attenuation parameter is the microscopic analogue of the Onsager coefficient.

Abstract

We discuss the microscopical justification of dissipation in the model nonrelativistic Fermi and Bose systems with weak local interactions above phase transitions. The dynamics of equilibrium fluctuations are considered in Keldysh - Schwinger framework. We show that the dissipation is related to pinch singularities of the diagram technique. Using Dyson - Schwinger equation and the two-loop approximation we define and calculate the attenuation parameter which is related to exponentiality of Green's functions decay. We show that the attenuation parameter is the microscopic analogue of the Onsager kinetic coefficient and it is related to attenuation in the excitation spectrum.