Functional Integral approach to quasi-particles in Fermi Liquid theory

Details Functional Integral approach to quasi-particles in Fermi Liquid theory Functional Integral approach to quasi-particles in Fermi Liquid theory

1997-06-04

arxiv.org/abs/cond-mat/9706033v1

Physics

Condensed Matter

10 pages, Latex file

Scientific paper

In this paper we propose a new way of organizing many-body perturbation theory in the Path-integral formulation where a set of quasi-particle wave-functionals $\psi$'s are introduced and are identified with quasi-particles in Landau Fermi liquid theory. We show how Fermi liquid theory can be obtained through $\psi$'s in this new framework of perturbation theory, where the only assumption is adiabaticity between non-interacting and interacting states and the quasi-particle renormalization factor z does not appear explicitly. Consequences of our new formulation are discussed.

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