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Schwinger Model Green functions with topological effects
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The fermion propagator and the 4-fermion Green function in the massless QED2 are explicitly found with topological effects taken into account. The corrections due to instanton sectors k=+1,-1, contributing to the propagator, are shown to be just the homogenous terms admitted by the Dyson-Schwinger equation for S. In the case of the 4-fermion function also sectors k=+2,-2 are included into consideration. The quark condensates are then calculated and are shown to satisfy cluster property. The theta-dependence exhibited by the Green functions corresponds to and may be removed by performing certain chiral gauge transformation.
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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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