Abstract
Covariant quantization is considered for a (1+1)-dimensional four-fermion model interacting with general-form dilation gravitation: the coefficients to all the terms are arbitrary functions of the dilaton field. In particular, detailed studies have been made of the Majorana case, the Gross-Neveu model, and extension of it containing an axial-scalar current term. The divergence of the one-loop effective action is derived and a study is made of the structure of the off-shell renormalizations. Finally, there is a discussion of renormalization in the sense of a generalized σ model, and expressions are given for the corresponding β functionals.
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