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Phase space cell expansion and borel summability for the Euclidean φ 3 4 theory
Authors:J. Magnen  R. Sénéor
Affiliation:(1) II. Institut für Theoretische Physik, D-2000 Hamburg, Germany;(2) Department of Physics, Harvard University, 02138 Cambridge, MA, USA
Abstract:The stability of the free energy is proved for complex values of the coupling constant by the way of a convergent expansion. As a consequence, one obtains the Borel summability of the perturbation series.On leave of absence from the Centre de Physique Théorique, Ecole Polytechnique, Palaiseau, FranceSupported in part by the National Science Foundation under Grant PHY 75-21212
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