Scaling Exponents in Quantum Gravity near Two Dimensions

Details Scaling Exponents in Quantum Gravity near Two Dimensions Scaling Exponents in Quantum Gravity near Two Dimensions

1992-06-22

arxiv.org/abs/hep-th/9206081v2

Nucl.Phys. B393 (1993) 280-300

Physics

High Energy Physics

High Energy Physics - Theory

24 pages and 1 figure, UT-614, TIT/HEP-191 and YITP/U-92-05 (figures added to the 1st version)

Scientific paper

10.1016/0550-3213(93)90246-L

We formulate quantum gravity in $2+\epsilon$ dimensions in such a way that the conformal mode is explicitly separated. The dynamics of the conformal mode is understood in terms of the oversubtraction due to the one loop counter term. The renormalization of the gravitational dressed operators is studied and their anomalous dimensions are computed. The exact scaling exponents of the 2 dimensional quantum gravity are reproduced in the strong coupling regime when we take $\epsilon\rightarrow0$ limit. The theory possesses the ultraviolet fixed point as long as the central charge $c<25$, which separates weak and strong coupling phases. The weak coupling phase may represent the same universality class with our Universe in the sense that it contains massless gravitons if we extrapolate $\epsilon$ up to 2.

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