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Quantum reparametrizations in the two-dimensional gravity: a look from 2+$epsilon$ dimensions

S. Naftulin
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Abstract

We discuss the structure of one-loop counterterms for the two-dimensional theory of gravitation in the covariant scheme and study the effect of quantum reparametrizations.Some of them are shown to be equivalent to the introduction of 2+$epsilon$-dimensional terms into the initially 2-dimensional theory. We also argue that the beta-function for the Einstein constant has a non-trivial ultraviolet stable point beyond two dimensions.

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S. Naftulin. 1994-12-26. Quantum reparametrizations in the two-dimensional gravity: a look from 2+$epsilon$ dimensions. https://arxiv.org/abs/hep-th/9412216

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