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Bosonic Monocluster Expansion
Authors:A Abdesselam  J Magnen  V Rivasseau
Institution:(1) Département de Mathématiques, Université Paris XIII, Paris-Nord, Villetaneuse, Avenue J.B. Clément, 93430 Villetaneuse, France, FR;(2) Centre de Physique Théorique, CNRS UMR 7644, Ecole Polytechnique, 91128 Palaiseau Cedex, France, FR
Abstract:We compute 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. Received: 18 May 2000 / Accepted: 21 March 2001
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