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.
Veneziano, U(1) without instantons, Nuclear Physics B 159, 213–224 (1979)
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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.