Self-consistent approximations for correlation functions in the theory of triplet pairing superfluidity in3He |
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Authors: | L Tewordt |
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Institution: | 1. Abteilung für Theoretische Festk?rperphysik der Universit?t Hamburg, Germany
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Abstract: | A self-consistent and “spin conserving” approximation scheme is developed for the two-particle correlation functions in superfluid3He. It is shown that the irreducible vertex part occuring in the Bethe-Salpeter equation for the generalized correlation function (having 44 components) must be equal to the functional derivative of the approximate self-energy part with respect to the Green's function. The theory is specialized to the Hartree-Fock approximation yielding the RPA susceptibility belowT c . An important feature of the resulting diagrammatic expansion is that the spin-fluctuation effects in the superfluid phase arise from infinite iteration of pairs of anomalous propagators inboth the particle-hole and in the particle-particle channels. |
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