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A FIXED POINT APPROACH TO THE GREEN'S FUNCTIONS OF PHI**4 in two-dimensions. LOCAL EXISTENCE OF THE BOREL TRANSFORMS

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DOI: 10.1016/0370-2693(81)90050-2
OAI: oai:inspirehep.net:170865
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INSPIRE-HEP
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Abstract

We prove the existence at small μ of a unique solution of the system B = M (B) to be satisfied by the set of Borel transformed euclidean Green's functions of a Φ 2 4 theory, μ being the Borel conjugate variable of the coupling λ. As a byproduct, a new proof of convergence of the Borel transformed perturbative series is obtained.

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