THE BOREL TRANSFORM IN EUCLIDEAN PHI**4 in nu-dimensions LOCAL EXISTENCE FOR RE (NU) < 4
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Abstract: (Springer)
We consider the ϕ4 theory in Euclidean space of complex dimensionv and prove that, for Rev < 4 the renormalized Feynman amplitudes grow at worst exponentially in the number of vertices in the graph. This implies that the Borel transform of any Schwinger function may be defined in a neighborhood of the origin in the Borel plane.- FIELD THEORY: EUCLIDEAN
- field theory: scalar
- RENORMALIZATION
- TRANSFORMATION: BOREL
- PERTURBATION THEORY
- FEYNMAN GRAPH
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