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

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.

16 pages

References in corpus (6)

• Scalar-Tensor Quantum Gravity in Two Dimensions
• Quantum $R^2$ Gravity in Two Dimensions
• One-loop Vilkovisky-DeWitt Counterterms for 2D Gravity plus Scalar Field Theory
• The Renormalization Structure and Quantum Equivalence of 2D Dilaton Gravities
• Dilaton Gravity in $2+\epsilon$ Dimensions
• One-Loop Renormalization of Higher-Derivative 2D Dilaton Gravity