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Dilaton‐Maxwell Gravity with Matter Near Two Dimensions
Author(s) -
Elizalde E.,
Odintsov S. D.
Publication year - 1996
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190440202
Subject(s) - physics , dilaton , asymptotic safety in quantum gravity , coupling constant , gravitation , mathematical physics , fixed point , central charge , string theory , gauge theory , string (physics) , ultraviolet fixed point , einstein , coupling (piping) , gauge (firearms) , cosmological constant , quantum gravity , classical mechanics , quantum mechanics , quantum , geometry , mathematical analysis , mathematics , relationship between string theory and quantum field theory , mechanical engineering , conformal map , engineering , archaeology , history
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 + 12 N – m – 2 n ) −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 + 6 N ) can be increased correspondingly (in pure dilatonic gravity 0 < C < 24).