Curvature dependence of running gauge coupling and confinement in AdS / CFT correspondence
May, 199919 pages
Published in:
- Phys.Rev.D 61 (2000) 044014
e-Print:
- hep-th/9905200 [hep-th]
Report number:
- NDA-FP-62
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Abstract:
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.- field theory: conformal
- space-time: anti-de Sitter
- supergravity
- dilaton
- space-time
- coupling: gauge
- quark antiquark: potential
- confinement
- axion
- inflation
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