Asymptotic perturbation expansion in theP(φ)2 quantum field theory |
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| Authors: | Jonathan Dimock |
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| Affiliation: | 1. Courant Institute of Mathematical Sciences, New York University, New York, N.Y., USA
2. Department of Mathematics, State University of New York at Buffalo, 4246 Ridge Lea Rd., 14226, Amherst, New York, USA
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| Abstract: | In theP(φ)2 model it is proved that the perturbation series for the infinite volume Schwinger functionsS(λ) are asymptotic in the limit as the coupling constant λ goes to zero. We also give conditions which imply smoothness ofS(λ) at arbitrary λ. |
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