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Recursive actions for scalar theories
Authors:C Dams  R Kleiss  P Draggiotis  EN Argyres  A van Hameren  CG Papadopoulos
Institution:(1) University of Nijmegen, Nijmegen, The Netherlands , NL;(2) NRCPS ”Dimokritos”, Agia Paraskevi, Athens, Greece , GR
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. Received: 19 December 2001 / Published online: 5 May 2003 RID="a" ID="a" e-mail: chrisd@sci.kun.nl RID="b" ID="b" e-mail: kleiss@sci.kun.nl RID="c" ID="c" e-mail: petros@sci.kun.nl RID="d" ID="d" e-mail: andrevh@sci.kun.nl RID="e" ID="e" e-mail: papadopo@alice.nuclear.demokritos.gr
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