Finite-volume effects and meson scattering in the 2-flavour Schwinger model
May 16, 2022
We investigate the 2-flavour Schwinger model in the canonical formulation with fixed fermion
numbers. We use Wilson fermions and a formalism which describes the determinant of the Dirac
operator in terms of dimensionally reduced canonical transfer matrices. These transfer matrices
allow the direct examination of arbitrary multi-particle (meson) sectors and the determination of
the corresponding ground-state energies. We discuss the finite-volume effects in the meson mass.
From the 2-meson energies, we determine the scattering phase shifts and compare the 3-meson
energies at finite volume to predictions based on 3-particle quantization conditions.
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