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Perturbative renormalization of composite operators via flow equations II: Short distance expansion

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Abstract

We give a rigorous and very detailed derivation of the short distance expansion for a product of two arbitrary composite operators in the framework of the perturbative Euclidean massiveΦ 44 . The technically almost trivial proof rests on an extension of the differential flow equation method to Green functions with bilocal insertions, for which we also establish a set of generalized Zimmermann identities and Lowenstein rules.

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Author notes

  1. G. Keller

    Present address: Department of Mathematics, University of Virginia, 22903, Charloltesoille, VA, USA

Authors and Affiliations

  1. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, W-8000, München 40, Germany

    G. Keller

  2. Institut für Theoretische Physik, Universität Göttingen, Bunsenstrasse 9, W-3400, Göttingen, Germany

    C. Kopper

Authors
  1. G. Keller
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  2. C. Kopper
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Additional information

Communicated by J. Fröhlich

Supported by the Swiss National Science Foundation

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Keller, G., Kopper, C. Perturbative renormalization of composite operators via flow equations II: Short distance expansion. Commun.Math. Phys. 153, 245–276 (1993). https://doi.org/10.1007/BF02096643

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  • DOI: https://doi.org/10.1007/BF02096643

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