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On the directional dependence of composite field operators

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Abstract

The Wilson expansion of the field operator productA 1(x 1)A 2(x 2) may be used to define composite operators which are local with respect to 1/2(x 1+x 2) and depend in addition on a vector η proportional to the distancex 1−x 2. It is proved that the composite operators are polynomials in η, for fixed η2 ≠ 0, and that their dependence on η2 only involves powers of η2 and lgη2.

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Authors and Affiliations

  1. Department of Physics, New York University, New York, N. Y.

    Paul Otterson & Wolfhart Zimmermann

Authors
  1. Paul Otterson
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  2. Wolfhart Zimmermann
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Additional information

This work was supported in part by the National Science Foundation Grant No. GP-25609.

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Otterson, P., Zimmermann, W. On the directional dependence of composite field operators. Commun.Math. Phys. 24, 107–132 (1972). https://doi.org/10.1007/BF01878449

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  • DOI: https://doi.org/10.1007/BF01878449

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