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A perturbatively nonrenormalizable variant of the Gross-Neveu model of Euclidean quantum field theory with bare propagator p/p^2- is considered. We outline a rigorous argument proving that by appropriate choice of the bare coupling constant the model may be renormalized nonperturbatively, which results in a theory governed at short distances by a non-Gaussian fixed point of the renormalization group.
Gawdzki et al. (Mon,) studied this question.
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