Eur. Phys. J. C 24, 631-637 (2002)
DOI: 10.1007/s10052-002-0978-y

Supercurrent and local coupling in the Wess-Zumino model

E. Kraus¹, Ch. Rupp² and K. Sibold<sup>3

1</sup>  Physikalisches Institut der Universität Bonn, Nußallee 12, 53115 Bonn, Germany
²  Institut für Theoretische Physik, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland
³  Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany

(Received: 12 April 2002 / Published online: 14 June 2002 )

Abstract
We study the Wess-Zumino model with the coupling extended to a chiral superfield. In order to incorporate the renormalization effects a further external real field has to be introduced. It is then possible to derive a Callan-Symanzik equation and to prove renormalizability. By constructing the supercurrent in this context the whole machinery for describing the superconformal symmetries becomes available. The presence of the external fields allows also to define multiple insertions of all relevant composite operators. Interesting relations to the curved superspace treatment show up.

© Società Italiana di Fisica, Springer-Verlag 2002