DILATONIC GRAVITY NEAR TWO DIMENSIONS AND ASYMPTOTIC FREEDOM OF THE GRAVITATIONAL COUPLING CONSTANT

Abstract

Two models of dilatonic gravity are investigated: (i) dilaton-Yang-Mills gravity and (ii) higher-derivative dilatonic gravity. Both are renormalizable in $2+\epsilon$ dimensions and have a smooth limit for $\epsilon \to 0$. The corresponding one-loop effective actions and beta-functions are found. Both theories are shown to possess a non-trivial ultraviolet fixed point ---for all dilatonic couplings--- in which the gravitational constant is asymptotically free. It is shown that in the regime of asymptotic freedom the matter central charge can be significantly increased by two different mechanisms ---as compared with pure dilatonic gravity, where $n<24$.

LaTeX, 10 pages, no figures

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Cited by in corpus (5)

• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Gravity in $d=2+\epsilon$ dimensions and realizations of the diffeomorphisms group
• Asymptotic Freedom Cosmology
• Dilaton-Maxwell gravity with matter near two dimensions
• Epsilon-expansion in quantum field theory in curved spacetime