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Finite-volume effects and meson scattering in the 2-flavour Schwinger model

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arxiv 2112.15228 v1 pith:UPVZN7OY submitted 2021-12-30 hep-lat

Finite-volume effects and meson scattering in the 2-flavour Schwinger model

classification hep-lat
keywords mesonenergiescanonicaleffectsfinite-volumeflavourmatricesmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD

    hep-lat 2026-01 conditional novelty 6.0

    The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.