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arxiv: math-ph/0002053 · v1 · submitted 2000-02-28 · 🧮 math-ph · cond-mat.stat-mech· hep-th· math.FA· math.MP

Bosonic Monocluster Expansion

classification 🧮 math-ph cond-mat.stat-mechhep-thmath.FAmath.MP
keywords bosonicexpansionconstructiveexpansionstheoryallowsbringscloser
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We compute connected Green's functions of a Bosonic field theory with cutoffs by means of a ``minimal'' expansion which in a single move, interpolating a generalized propagator, performs the usual tasks of the cluster and Mayer expansion. In this way it allows a direct construction of the infinite volume or thermodynamic limit and it brings constructive Bosonic expansions closer to constructive Fermionic expansions and to perturbation theory.

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