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arXiv · hep-th/9501015

Dilaton-Maxwell gravity with matter near two dimensions

E. Elizalde·S. D. Odintsov
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Abstract

Unlike Einstein gravity, dilaton-Maxwell gravity with matter is renormalizable in $2+ε$ dimensions and has a smooth $ε\to 0$ limit.By performing a renormalization- group study of this last theory we show that the gravitational coupling constant $G$ has a non-trivial,ultraviolet stable fixed point (asymptotic freedom) and that the dilatonic coupling functions (including the dilatonic potential) exhibit also a real, non-trivial fixed point. At such point the theory represents a standard charged string-inspired model.Stability and the gauge dependence of the fixed-point solution is discussed.It is shown that all these properties remain valid in a dilatonic-Yang-Mills theory with $n$ scalars and $m$ spinors, that has the UF stable fixed point $G^* = 3ε(48+12N-m-2n)^{-1}$.In addition, it is seen that by increasing $N$ (number of gauge fields) the matter central charge $C=n+m/2$ ($0<C<24+6N$) can be increased correspondingly (in pure dilatonic gravity $0<C<24$).

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E. Elizalde, S. D. Odintsov. 1995-01-05. Dilaton-Maxwell gravity with matter near two dimensions. https://doi.org/10.1002/prop.2190440202

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