Spectral Function and Kinetic Equation for Normal Fermi Liquid

TL;DR

This paper introduces a new spectral function ansatz based on the Kadanoff-Baym Green's function method, enabling a microscopic derivation of the Landau kinetic equation with extended temperature validity for normal Fermi liquids.

Contribution

A novel spectral function ansatz compatible with the Kadanoff-Baym framework that satisfies the spectral function equation in near-equilibrium conditions.

Findings

Enables derivation of Landau kinetic equation from microscopic principles.

Extends the temperature range where the kinetic equation is valid.

Bridges quasiparticle and extended quasiparticle approximations.

Abstract

On the basis of the Kadanoff-Baym (KB) varient of the time dependent Green's function method a new ansatz for the approximation of a spectral function is offered. The ansatz possesses all the advantages of quasiparticle (QP) and extended quasiparticle (EQP) approximations and satisfies the KB equation for a spectral function in the case of slightly nonequilibrium system when disturbances in space and time are taken into consideration in the gradient approximation. This feature opens new opportunities for the microscopic derivation of the Landau kinetic equation for the quasiparticle distribution function of the normal fermi liquid and provides the widening of these equation's temperature rang of validity.