Eur. Phys. J. C 28, 561-571 (2003)
DOI: 10.1140/epjc/s2003-01142-4

Recursive actions for scalar theories

C. Dams¹, R. Kleiss¹, P. Draggiotis^{1, 2}, E.N. Argyres², A. van Hameren² and C.G. Papadopoulos<sup>2

1</sup>  University of Nijmegen, Nijmegen, The Netherlands
²  NRCPS "Dimokritos", Agia Paraskevi, Athens, Greece

(Received: 19 December 2001 / Published online: 5 May 2003)

Abstract
We introduce a class of self-interacting scalar theories in which the various coupling constants obey a recursive relation. These imply a particularly simple form for the generating function of the Feynman amplitudes with vanishing external momenta, as well as for the effective potential. In addition we discuss an interesting duality inherent in these models. Specializing to the case of zero spacetime dimensions we find intriguing nullification properties for the amplitudes.

© Società Italiana di Fisica, Springer-Verlag 2003