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Asymptotic perturbation expansion in theP(φ)2 quantum field theory

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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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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, New York, N.Y., USA

    Jonathan Dimock

  2. Department of Mathematics, State University of New York at Buffalo, 4246 Ridge Lea Rd., 14226, Amherst, New York, USA

    Jonathan Dimock

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  1. Jonathan Dimock
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Additional information

Communicated by A. S. Wightman

Supported by National Science, Foundation Grant NSF-GP-24003.

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Dimock, J. Asymptotic perturbation expansion in theP(φ)2 quantum field theory. Commun.Math. Phys. 35, 347–356 (1974). https://doi.org/10.1007/BF01646354

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  • DOI: https://doi.org/10.1007/BF01646354

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