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Improved Epstein–Glaser Renormalization in Coordinate Space I. Euclidean Framework

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Abstract

In a series of papers, we investigate the reformulation of Epstein–Glaser renormalization in coordinate space, both in analytic and (Hopf) algebraic terms. This first article deals with analytical aspects. Some of the (historically good) reasons for the divorces of the Epstein–Glaser method, both from mainstream quantum field theory and the mathematical literature on distributions, are made plain; and overcome.

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Authors and Affiliations

  1. Forschungszentrum BiBoS, Fakultät der Physik Universität Bielefeld, D-33615, Bielefeld, Germany

    José M. Gracia-Bondía

  2. Departamento de Física Teórica, Universidad de Zaragoza, E-50009, Zaragoza, Spain

    José M. Gracia-Bondía

  3. and Departamento de Física Teórica I, Universidad Complutense, E-28040, Madrid, Spain

    José M. Gracia-Bondía

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Gracia-Bondía, J.M. Improved Epstein–Glaser Renormalization in Coordinate Space I. Euclidean Framework. Mathematical Physics, Analysis and Geometry 6, 59–88 (2003). https://doi.org/10.1023/A:1022414224858

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