English

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

High Energy Physics - Theory 2007-05-23 v1

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+epsilonepsilon-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.

Keywords

Cite

@article{arxiv.hep-th/9412216,
  title  = {Quantum reparametrizations in the two-dimensional gravity: a look from 2+$epsilon$ dimensions},
  author = {S. Naftulin},
  journal= {arXiv preprint arXiv:hep-th/9412216},
  year   = {2007}
}

Comments

16 pages,LATEX file. This paper removed because it is identical to hep-th/9501011

R2 v1 2026-07-22T15:53:05.544Z