Curvature dependence of running gauge coupling and confinement in AdS / CFT correspondence
Curvature dependence of running gauge coupling and confinement in AdS / CFT correspondence
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DOI：
10.1103/physrevd.61.044014
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发表时间：
1999-05
影响因子：
5
通讯作者：
S. Nojiri;S. Odintsov
中科院分区：
文献类型：
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作者：
S. Nojiri;S. Odintsov
我们构造了具有非平凡膨胀和弯曲四维空间的IIB超重力（被视为膨胀重力）背景。这样的背景可以描述最大超对称杨-米尔斯理论的另一个真空或（非）超对称规范理论与取决于曲率的（类幂）运行规范耦合的强耦合机制。计算曲率相关的夸克-反夸克势，其中双曲（或德西特宇宙）的几何类型显示（或不显示）限制的趋势。提出了具有非恒定轴子的IIB超重力背景的推广。夸克-反夸克势再次依赖于曲率，有可能产生大间距的标准面积定律。
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.