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