On causality, unitarity and perturbative expansions

Details On causality, unitarity and perturbative expansions On causality, unitarity and perturbative expansions

2010-09-29

arxiv.org/abs/1009.5928v1

Phys.Lett.B697:147-152,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 12 figures

Scientific paper

10.1016/j.physletb.2011.01.036

We present a pedagogical case study how to combine micro-causality and unitarity based on a perturbative approach. The method we advocate constructs an analytic extrapolation of partial-wave scattering amplitudes that is constrained by the unitarity condition. Suitably constructed conformal mappings help to arrive at a systematic approximation of the scattering amplitude. The technique is illustrated at hand of a Yukawa interaction. The typical case of a superposition of strong short-range and weak long-range forces is investigated.

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