Renormalization and symmetry conditions in supersymmetric QED |
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Authors: | Hollik W Kraus E Stöckinger D |
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Institution: | Institut für Theoretische Physik, Universit?t Karlsruhe, 76128 Karlsruhe, Germany, DE Physikalisches Institut, Universit?t Bonn, Nu?allee 12, 53115 Bonn, Germany, DE
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Abstract: | For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is
not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic renormalization.
For practical calculations, a non-invariant regularization scheme may be used together with counterterms from all power-counting
renormalizable interactions. From the Slavnov–Taylor identity, expressing gauge invariance, supersymmetry and translational
invariance, simple symmetry conditions are derived that are important in a twofold respect: they establish exact relations
between physical quantities that are valid to all orders, and they provide a powerful tool for the practical determination
of the counterterms. We perform concrete one-loop calculations in dimensional regularization, where supersymmetry is spoiled
at the regularized level, and show how the counterterms necessary to restore supersymmetry can be read off easily. In addition,
a specific example is given how the supersymmetry transformations in one-loop order are modified by non-local terms.
Received: 23 July 1999 / Published online: 14 October 1999 |
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