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Point Splitting and U(1) Gauge Invariance

1999/12/20 by Dirk Olivié, Dirk Olivie, Olivie, Dirk
Computer Science · Medicine · Physics and Astronomy · #Digital Image Processing Techniques #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9912178

6 pages, 0 figures, to be published in the proceedings of the NATO ASI Summer School held in Cargese, July 26 - August 7, 1999 : Particle Physics, Ideas and Recent Developments

arxiv created 1999/12/20 · openalex publication_date 1999/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A gauge transformation in quantum electrodynamics involves the product of field operators at the same space-time point and hence does not have a well-defined meaning. One way to avoid this difficulty is to generalize the gauge transformation by using different space-time points in the spirit of Dirac's point splitting. Such a generalization indeed exists and the resulting infinitesimal gauge transformation takes the form of an infinite series in the coupling constant. In this text I will present two examples of generalized gauge transformations.

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