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27 April 2024

» arxiv » hep-lat/9211029

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Unstable particles in finite volume: The broken phase of the $4$-d $O(4)$ non-linear $sigma$-model
Frank Zimmermann ; Jörg Westphalen ; Meinulf Göckeler ; Hans A. Kastrup ;
Date:	11 Nov 1992
Journal:	Nucl.Phys.Proc.Suppl. 30 (1993) 879-882
Subject:	hep-lat
Abstract:	According to a proposal of Lüscher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken phase of the 4-dimensional $O(4)$ non-linear $sigma$-model in a Monte-Carlo study on finite lattices. This non-perturbative approach also permits the study of unstable particles, the $sg$-particle in our case. We observe the $sg$-resonance and extract its mass and its width.
Source:	arXiv, hep-lat/9211029
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