A Family of unitary higher order equations

Details A Family of unitary higher order equations A Family of unitary higher order equations

1996-07-03

arxiv.org/abs/hep-th/9607024v1

Int.J.Mod.Phys. A12 (1997) 2915-2926

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTex, no figures

Scientific paper

A scalar field obeying a Lorentz invariant higher order wave equation, is minimally coupled to the electromagnetic field. The propagator and vertex factors for the Feynman diagrams, are determined. As an example we write down the matrix element for the Compton effect. This matrix element is algebraically reduced to the usual one for a charged Klein-Gordon particle. It is proved that the $ n^{th} $ order theory is equivalent to n independent second order theories. It is also shown that the higher order theory is both renormalizable and unitary for arbitrary n.

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