PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Finite-volume effects and meson scattering in the 2-flavour Schwinger model
P. Bühlmann* and U. Wenger
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Pre-published on: May 16, 2022
Published on:
Abstract
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.
DOI: https://doi.org/10.22323/1.396.0463
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