Pion scattering and the skyrmion in ChPT with many pions

Details Pion scattering and the skyrmion in ChPT with many pions Pion scattering and the skyrmion in ChPT with many pions

1994-01-10

arxiv.org/abs/hep-ph/9401230v1

NuovoCim.A108:335-347,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, FT/UCM/14/93, SU-ITP-93-32

Scientific paper

10.1007/BF02787060

The large N effective action of the non-linear sigma model based in the coset O(N+1)/O(N) is obtained. The renormalization of this effective action requires the introduction of an infinite set of counterterms. However, there exit particular cases where, at some scale, only a finite number of non-zero coupling constants are present. This fact makes possible a one parameter fit of the I=J=0 low-energy pion scattering. The corresponding non-local effective action is used to study the properties of the skyrmion which is shown to be unstable in this approximation.

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