M. Bordag, D. Hennig, D. Robaschik, K. Scharnhorst, E. Wieczorek:
*Delta potentials on planes in QED*.
In: H.D. Doebner, W. Scherer, F. Schroeck, Jr. (Eds.): Classical and Quantum
Systems: Foundations and Symmetries, Proceedings of the II. International Wigner Symposium,
Goslar, Germany, July 16-20 1991. World Scientific, Singapore 1993 (DOI: 10.1142/1768),
pp. 571-576.
[INSPIRE record]

**Abstract**:
QED is considered in the presence of delta shaped external gauge
potentials with support on one or two planes. Using the propagators
determined in these special field configurations the parameter
dependence of the vacuum energy (similar to the Casimir effect)
is calculated. Thereby, it turns out that also in the case of
massive fields nonrelativistic field theory is unable to
approximate the results of relativistic field theory. Surprisingly,
a parallel calculation using the zeta function method leads to a
wrong result if one does not investigate the nonleading terms
carefully. First loop calculations exhibit an unexpected
renormalization behaviour which may be typical for certain singular
background fields.

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