On causality, unitarity and perturbative expansions
High Energy Physics - Phenomenology
2011-02-15 v1
Abstract
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.
Cite
@article{arxiv.1009.5928,
title = {On causality, unitarity and perturbative expansions},
author = {I. V. Danilkin and A. M. Gasparyan and M. F. M. Lutz},
journal= {arXiv preprint arXiv:1009.5928},
year = {2011}
}
Comments
12 pages, 12 figures