Dilaton-Maxwell gravity with matter near two dimensions

Details Dilaton-Maxwell gravity with matter near two dimensions Dilaton-Maxwell gravity with matter near two dimensions

1995-01-05

arxiv.org/abs/hep-th/9501015v1

Fortsch.Phys.44:85-104,1996

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LATEX file

Scientific paper

10.1002/prop.2190440202

Unlike Einstein gravity, dilaton-Maxwell gravity with matter is renormalizable in $2+\epsilon$ dimensions and has a smooth $\epsilon\to 0$ 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 $G^* = 3\epsilon (48+12N-m-2n)^{-1}$.In addition, it is seen that by increasing $N$ (number of gauge fields) the matter central charge $C=n+m/2$ ($0

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