Bethe-Salpeter Equations from the 4PI effective action

Abstract

In this paper we derive a hierarchy of integral equations from the 4PI effective action which have the form of Bethe-Salpeter equations. We show that, together with the equation of motion for the self-consistent 4-vertex, these integral equations are closed, and that their expansions give infinite series of connected diagrams which have the correct symmetry.

20 pages, 13 figures

References in corpus (2)

• Leading Order QED Electrical Conductivity from the 3PI Effective Action
• Renormalization group flow equations connected to the $n$PI effective action

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• Momentum broadening in unstable quark-gluon plasma
• Planar degeneracy of the three-gluon vertex
• Gluon mass scale through the Schwinger mechanism
• Wave propagation in non Gaussian random media