DOI 10.1007/s100529900216
Renormalization and symmetry conditions in supersymmetric QED
W. Hollik
,
E. Kraus
,
D. Stöckinger
1 Institut für Theoretische Physik,
Universität Karlsruhe,
76128 Karlsruhe, Germany
2 Physikalisches Institut,
Universität Bonn,
Nußallee 12, 53115 Bonn, Germany
Received: 23 July 1999 / Published online: 14 October 1999
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.
Copyright Springer-Verlag
