Mass spectrum and elastic scattering in the massive SU(2)_f Schwinger model on the lattice

Details Mass spectrum and elastic scattering in the massive SU(2)_f Schwinger model on the lattice Mass spectrum and elastic scattering in the massive SU(2)_f Schwinger model on the lattice

1999-04-30

arxiv.org/abs/hep-lat/9904015v1

Nucl.Phys. B560 (1999) 431-464

Physics

High Energy Physics

High Energy Physics - Lattice

43 pages, 15 figures, LaTeX, uses feynmf.sty

Scientific paper

10.1016/S0550-3213(99)00447-2

We calculate numerically scattering phases for elastic meson-meson scattering processes in the strongly coupled massive Schwinger-model with an SU(2) flavour symmetry. These calculations are based on Luescher's method in which finite size effects in two-particle energies are exploited. The results from Monte-Carlo simulations with staggered fermions for the lightest meson ("pion") are in good agreement with the analytical strong-coupling prediction. Furthermore, the mass spectrum of low-lying mesonic states is investigated numerically. We find a surprisingly rich spectrum in the mass region [m_\pi,4 m_\pi].

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