Rigorous approach to the problem of ultraviolet divergencies in dilute Bose gases

Details Rigorous approach to the problem of ultraviolet divergencies in dilute Bose gases Rigorous approach to the problem of ultraviolet divergencies in dilute Bose gases

2001-01-18

arxiv.org/abs/cond-mat/0101275v3

Phys. Rev. Lett. 88, 010402 (2002)

Physics

Condensed Matter

RevTex, 4 pages, no figures; identical copy of the published version

Scientific paper

10.1103/PhysRevLett.88.010402

We have found an expression for the full many-body Green's function of N pairwise finite-range interacting atoms, in a form of a chain fraction involving two-body T-matrices only, with no explicit presence of the interaction potentials themselves. We show that in the limit of infinitely small potential range, this expression reduces to the Green's function for N atoms interacting via a generalized pseudo-potential, function of a free parameter \Lambda. Using this \Lambda-freedom we resolve all inconsistensies of the Hartree-Fock-Bogoliubov formalism known so far, with no ad hoc modifications of the theory.

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