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arXiv:hep-lat/9312040·v1·High Energy Physics — Lattice

Scattering phases in the broken phase of the 4-d O(4) non-linear sigma-model

J. Westphalen🇩🇪 · F. Zimmermann🇩🇪 · M. Goeckeler🇩🇪 · H. A. Kastrup🇩🇪

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Abstract

Using Luescher's method we determine the elastic scattering phases in the broken phase of the 4-dimensional O(4) non-linear sigma-model from the two-particle energy spectrum in a Monte-Carlo study on finite lattices. In the isospin-0-channel we observe the sigma-resonance and extract its mass and its width. In all scattering channels investigated the results are consistent with perturbative calculations.

Comments: 3 pages, talk presented at Lattice 1993