Year: 1996
Type: article
Abstract: Unlike Einstein gravity, dilaton-Maxwell gravity with matter is renormalizable in 2 + e dimensions and has a smooth ϵ → 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 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).
Authors: E. Elizalde, S. D. Odintsov
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: Generalitat de Catalunya
OpenAlex ID: W2143274095