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Time-ordered products and Schwinger functions

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Abstract

It is shown that every system of time-ordered products for a local field theory determines a related system of Schwinger functions possessing an extended form of Osterwalder-Schrader positivity and that the converse is true provided certain growth conditions are satisfied. This is applied to the φ 43 theory and it is shown that the time-ordered functions andS-matrix elements admit the standard perturbation series as asymptotic expansions.

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Author notes

  1. J. -P. Eckmann

    Present address: Département de Physique Théorique, Universitéve, CH-1211, Genève 4, Switzerland

Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, F-91440, Bures-sur-Yvette, France

    J. -P. Eckmann & H. Epstein

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  1. J. -P. Eckmann
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  2. H. Epstein
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Communicated by A. Jaffe

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Eckmann, J.P., Epstein, H. Time-ordered products and Schwinger functions. Commun.Math. Phys. 64, 95–130 (1979). https://doi.org/10.1007/BF01197509

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  • DOI: https://doi.org/10.1007/BF01197509

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