 96189 Abdesselam A., Rivasseau V.
 An explicit large versus small field multiscale cluster expansion
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May 14, 96

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Abstract. We introduce a new type of cluster expansion which generalizes
a previous formula of Brydges and Kennedy. The method is
especially suited for performing a phasespace multiscale
expansion in a just renormalizable theory, and allows
the writing of explicit nonperturbative formulas
for the Schwinger functions. The procedure is quite model independent,
but for simplicity we chose the infrared $\ph^4_4$ model as a
testing ground. We used also a large field versus small field
expansion.
The polymer amplitudes, corresponding to graphs without almost local
two and for point functions, are shown to satisfy
the polymer bound.
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