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Generalizations of the Sommerfield and Schwinger models
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The Sommerfield model with a massive vector field coupled to a massless fermion in 1+1 dimensions is an exactly solvable analog of a Bank-Zaks model. The "physics" of the model comprises a massive boson and an unparticle sector that survives at low energy as a conformal field theory (Thirring model). We analyze generalizations of the Sommerfield model, and the corresponding generalizations of the Schwinger model, with more massless fermions and more vector fields.
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Non-perturbative Effects and Unparticle Physics in Generalized Schwinger Models
In a class of exactly solvable generalized Schwinger models, all normalized low-dimension operators with the same chiral charge flow to a single unparticle operator at long distances.
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