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New insight in the 2-flavor Schwinger model based on lattice simulations

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arxiv 2201.08008 v2 pith:PPJ2IU7F submitted 2022-01-20 hep-lat hep-ph

Jaime Fabián Nieto Castellanos , Wolfgang Bietenholz , Ivan Hip This is my paper · ORCID
classification hep-lathep-ph
keywords latticemodelschwingersimulationsagreesanaloguebosonizationchiral
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider the Schwinger model with two degenerate, light fermion flavors by means of lattice simulations. At finite temperature, we probe the viability of a bosonization method by Hosotani et al. Next we explore an analogue to the pion decay constant, which agrees for independent formulations based on the Gell-Mann--Oakes--Renner relation, the 2-dimensional Witten--Veneziano formula and the $\delta$-regime. Finally we confront several conjectures about the chiral condensate with lattice results.

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  1. Chiral and isospin breaking in the two-flavor Schwinger Model

    hep-lat 2025-01 conditional novelty 7.0 of 10

    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.

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