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• W2073314726 startingPage "140" @default.
• W2073314726 abstract "We have used a Hubbard–Stratonovich transformation to convert the quartic Hubbard problem of interacting electrons into more tractable quadratic problem of non-interacting electrons coupled to a Bose field. The Dyson and the Bethe-Salpeter (BS) equations for the corresponding Green functions are derived by applying a functional derivative technique combined with the method of Legendre transform. This approach allows us to obtain exact relations between single- and two-particle quantities. We have compared the self-consistent relationship between mass operator and two-particle Green function with the similar relationship in the two-particle self-consistent (TPSC) approximation, and came up with the conclusion that the accuracy of the TPSC approximation is questionable because: (i) if equal-time pair-correlation function is set to one, the mass operator in TPSC approximation differs significantly from the exact mass operator; and (ii) the TPSC approximation does not take into account the Hartree part of the mass operator. The latter results in missing exchange interaction in the BS equation. A generalized random-phase approximation is applied to demonstrate the important role of the exchange interaction when BS equation is used to study collective excitation spectrum of the attractive Hubbard model." @default.
• W2073314726 created "2016-06-24" @default.
• W2073314726 creator A5032388069 @default.
• W2073314726 date "2009-10-09" @default.
• W2073314726 modified "2023-09-25" @default.
• W2073314726 title "Non-perturbative treatment of the attractive Hubbard model" @default.
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• W2073314726 doi "https://doi.org/10.1002/pssb.200945228" @default.
• W2073314726 hasPublicationYear "2009" @default.
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