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Functional Integral Approach to the N-Flavor Schwinger Model
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We study massless QED_2 with N flavors using path integrals. We identify the sector that is generated by the N^2 classically conserved vector currents. One of them (the U(1) current) creates a massive particle, while the others create massless ones. We show that the mass spectrum obeys a Witten-Veneziano type formula. Two theorems on n-point functions clarify the structure of the Hilbert space. Evaluation of the Fredenhagen-Marcu order parameter indicates that a confining force exists only between charges that are integer multiples of +/- Ne, whereas charges that are nonzero mod(N) screen their confining forces and lead to non-vacuum sectors. Finally we identify operators that violate clustering, and decompose the theory into clustering theta vacua.
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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.
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