Recursive actions for scalar theories

Details Recursive actions for scalar theories Recursive actions for scalar theories

2001-12-19

arxiv.org/abs/hep-ph/0112258v2

Eur.Phys.J.C28:561-571,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 2 figures Replaced contract number

Scientific paper

10.1140/epjc/s2003-01142-4

We introduce a class of self-interacting scalar theories in which the various coupling contants 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.

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