I will describe the correlators of fermion bilinears in the n-flavor massless Schwinger model. These are exactly calculable generalized free theories. For n > 1, there is a massive particle and a conformal sector. I have argued that in the n = 2 theory, very special mass terms can be added to introduce interactions and modify the anomalous dimensions without eliminating the conformal sector. I will show some evidence that this works in the n = 2 theory by calculating anomalous dimensions in perturbation theory in the mass parameter. I will also explain why I think that n > 2 may be less interesting

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