Asymmetric Bethe-Salpeter equation for pairing and condensation
type: Item
instance of: scholarly article
title: Asymmetric Bethe-Salpeter equation for pairing and condensation
zbMATH Open document ID: 1221.82069
author: K. Morawetz
published in: Journal of Statistical Physics
publication date: 2011-06-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/1006.4695
review text: The main purpose of the present paper is to re-examine the Martin-Schwinger hierarchical structure of correlations. The author investigates the binary collision approximation as well as three-particle correlations, which enable to derive the corresponding Bethe-Salpeter equations. Dependent on the considered channel the author obtains one complete-selfconsistent and one channel-dressed selfconsistent propagator. The binary collision approximation leads to one Hartree-Fock and one selfconsistent propagator in agreement with the Kadanoff and Martin form. This leads to the gap equation of pairing while the standard Bethe-Salpeter equation with two selfconsistent propagators does not. The proofs strongly rely on basic properties of Green functions.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 82C22
Mathematics Subject Classification ID: 81Q40
Mathematics Subject Classification ID: 82D55
zbMATH DE Number: 5913932
zbMATH Keywords: many-body theory
zbMATH Keywords: correlations in nonequilibrium
zbMATH Keywords: Bethe-Salpeter equation
MaRDI profile type: Publication
OpenAlex ID: W3103203998
arXiv ID: 1006.4695
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DOI: 10.1007/S10955-011-0186-Y
description: scientific article