Curvature Dependence of Running Gauge Coupling and Confinement in AdS/CFT Correspondence

Details Curvature Dependence of Running Gauge Coupling and Confinement in AdS/CFT Correspondence Curvature Dependence of Running Gauge Coupling and Confinement in AdS/CFT Correspondence

1999-05-27

arxiv.org/abs/hep-th/9905200v7

Phys.Rev.D61:044014,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 24 pages, presentation is improved

Scientific paper

10.1103/PhysRevD.61.044014

We construct IIB supergravity (viewed as dilatonic gravity) background with non-trivial dilaton and with curved four-dimensional space. Such a background may describe another vacuum of maximally supersymmetric Yang-Mills theory or strong coupling regime of (non)-supersymmetric gauge theory with (power-like) running gauge coupling which depends on curvature. Curvature dependent quark-antiquark potential is calculated where the geometry type of hyperbolic (or de Sitter universe) shows (or not) the tendency of the confinement. Generalization of IIB supergravity background with non-constant axion is presented. Quark-antiquark potential being again curvature-dependent has a possibility to produce the standard area law for large separations.

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