A new dilaton-based effective theory predicts the pion mass splitting in the massive two-flavor Schwinger model, and lattice data match both this prediction and the exact sine-Gordon scaling.
Mass spectrum and elastic scattering in the massive SU(2)_f Schwinger model on the lattice
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abstract
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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Chiral and isospin breaking in the two-flavor Schwinger Model
A new dilaton-based effective theory predicts the pion mass splitting in the massive two-flavor Schwinger model, and lattice data match both this prediction and the exact sine-Gordon scaling.