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

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

1995-01-04

arxiv.org/abs/hep-th/9501011v1

NuovoCim.B111:471-482,1996

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1007/BF02724556

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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