  We consider quantum aspects of a class of generalized Gross-Neveu models,
which in special cases reduce to sigma models. We show that, in the case of
gauged models, an admissible gauge is $A_\mu=0$, which is a direct analogue of
the conformal gauge in string models. Chiral anomalies are a gauge counterpart
of the Weyl anomaly, and are required to vanish. Topological effects on the
worldsheet lead to an integration over moduli spaces of connections on a
Riemann surface. This is an initial step in studying the effects of worldsheet
geometry and topology in integrable sigma models.
