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Self-consistent Green's functions formalism with three-body interactions

Carbone, A, Cipollone, A, Barbieri, Carlo, Rios Huguet, Arnau and Polls, A (2013) Self-consistent Green's functions formalism with three-body interactions Physical Review C: Nuclear Physics, 88 (5).

1310.3688v1.pdf - Accepted version Manuscript

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We extend the self-consistent Green's functions formalism to take into account three-body interactions. We analyze the perturbative expansion in terms of Feynman diagrams and define effective one- and two-body interactions, which allows for a substantial reduction of the number of diagrams. The procedure can be taken as a generalization of the normal ordering of the Hamiltonian to fully correlated density matrices. We give examples up to third order in perturbation theory. To define nonperturbative approximations, we extend the equation of motion method in the presence of three-body interactions. We propose schemes that can provide nonperturbative resummation of three-body interactions. We also discuss two different extensions of the Koltun sum rule to compute the ground state of a many-body system.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
Carbone, A
Cipollone, A
Rios Huguet,
Polls, A
Date : 27 November 2013
DOI : 10.1103/PhysRevC.88.054326
Related URLs :
Additional Information : Copyright 2013 American Physical Society
Depositing User : Symplectic Elements
Date Deposited : 29 Nov 2013 09:44
Last Modified : 16 Jan 2019 16:49

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