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Dimensional regularization and renormalization of QED

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Abstract

We give an χ-space definition of dimensional regularization suited to the tree expansion method of renormalization. We apply the dimensionally regularized tree expansion to QED, obtaining sharp bounds on the size of a renormalized graph. Subtractions are made with the Lagrangian counterterms of the tree expansion, not by minimal subtraction techniques, and so do not entail a knowledge of the meromorphic structure of a graph as a function of dimension. This renormalization procedure respects the Ward identities, and the counterterms required are gauge invariant.

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Authors and Affiliations

  1. Mathematics Department, University of British Columbia, V6T 1Y4, Vancouver, B.C., Canada

    Lon Rosen

  2. Mathematics Department, University of Virginia, 22903, Charlottesville, VA, USA

    Jill D. Wright

Authors
  1. Lon Rosen
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  2. Jill D. Wright
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Communicated by K. Gawedzki

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Rosen, L., Wright, J.D. Dimensional regularization and renormalization of QED. Commun.Math. Phys. 134, 433–466 (1990). https://doi.org/10.1007/BF02098441

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  • DOI: https://doi.org/10.1007/BF02098441

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