Abstract
For the truncated Schwinger functions of theP(Φ)2 field theories, we show strong decrease in the separation of points. This shows uniqueness of theories withP of degree four. We also extend the domain of analyticity in the coupling constant. For theories withP of degree four, the combination of these two results gives Borel summability.
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Communicated by A. S. Wightman
Supported by the Fonds National Suisse.
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Eckmann, J.P., Magnen, J. & Sénéor, R. Decay properties and borel summability for the Schwinger functions inP(Φ)2 theories. Commun.Math. Phys. 39, 251–271 (1975). https://doi.org/10.1007/BF01705374
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DOI: https://doi.org/10.1007/BF01705374