Conformal Models of Thirring Type and the Affine Virasoro Construction

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, Latex. Some numerical errors have been corrected

Scientific paper

10.1016/S0550-3213(99)00547-7

We investigate a class of models in 1+1 dimensions with four fermion interaction term. At each order of the perturbation expansion, the models are ultraviolet finite and Lorentz non-invariant. We show that for certain privileged values of the coupling constants, Lorentz symmetry is restored, and indeed the model turns out to be conformally invariant. This phenomenon is both quantum mechanical and non-perturbative.

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