Dilaton-Maxwell gravity with matter near two dimensions

Abstract

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 $G^{\ast }=3\epsilon (48+12N-m-2n{)}^{-1}$.In addition, it is seen that by increasing $N$ (number of gauge fields) the matter central charge $C=n+m/2$ ($0<C<24+6N$) can be increased correspondingly (in pure dilatonic gravity $0<C<24$).

15 pages, LATEX file

References in corpus (18)

• Liouville Models of Black Hole Evaporation
• Charged Black Holes in Two-Dimensional String Theory
• Ultraviolet Stable Fixed Point and Scaling Relations in 2+$\epsilon$ Dimensional Quantum Gravity
• Evaporation of Two Dimensional Black Holes
• Scalar-Tensor Quantum Gravity in Two Dimensions
• Hawking Radiation and Back-Reaction
• Observing 4D Baby Universes in Quantum Gravity
• Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions
• Dilaton Gravity and No-Hair Theorem in Two Dimensions
• Scaling behavior of quantum four-geometries
• One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum Gravity and Charged Black Holes
• Supergravity in $2+\epsilon$ Dimensions
• Charged Dilatonic Black Hole and Hawking Radiation in Two Dimensions
• Dilaton Gravity in $2+\epsilon$ Dimensions
• Quantum Gravity and Black Hole Dynamics in 1+1 Dimensions
• $R^2$ Gravity in $(2+\epsilon )$--Dimensional Quantum Gravity
• One-loop divergences in two-dimensional Maxwell-dilaton quantum gravity
• DILATONIC GRAVITY NEAR TWO DIMENSIONS AND ASYMPTOTIC FREEDOM OF THE GRAVITATIONAL COUPLING CONSTANT

Cited by in corpus (1)

• Quantum dilatonic gravity in d = 2,4 and 5 dimensions