00-91 A. Abdesselam, J. Magnen, V. Rivasseau

Bosonic Monocluster Expansion (98K, Latex 2e with 1 eps figure) Feb 28, 00

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Abstract. 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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