arXiv 0706.26552007-06hep-th

AdS/CFT中夸克偶素对偶弦组态的稳定性

Stability of string configurations dual to quarkonium states in AdS/CFT

Spyros D. Avramis, Konstadinos Sfetsos, Konstadinos Siampos

备注：: 41 pages, 16 figures; v2: minor typos corrected, version to appear in Nucl. Phys. B
发表信息：: Nucl.Phys.B793:1-33,2008
DOI：: 10.1016/j.nuclphysb.2007.09.025

摘要：

我们扩展了我们以前的工作，关于用于计算重夸克的相互作用势的规范/重力对应的弦配置的微扰稳定性，以涵盖更一般的类的重力场。我们提供的结果，主要是基于分析方法和数值计算，这适用于字符串在一般类的背景，包括提升，旋转和边缘变形的D3膜背景证实。对于自旋膜的情况下，我们证明了在一些例子中，微扰稳定性的字符串需要强的条件补充热力学稳定性的对偶场论。对于边缘变形的背景，我们发现，即使在共形的情况下，稳定性可能需要一个上限值的虚部的变形参数，而在库仑分支存在线性约束的区域，我们发现，存在稳定的字符串配置的某些范围内的值的这个参数。最后，我们讨论了具有固定端点的开弦在Rindler空间中传播的情况，结果证明它有一个精确的经典力学模拟。

英文摘要：

We extend our earlier work, regarding the perturbative stability of string configurations used for computing the interaction potential of heavy quarks within the gauge/gravity correspondence, to cover a more general class of gravity duals. We provide results, mostly based on analytic methods and corroborated by numerical calculations, which apply to strings in a general class of backgrounds that encompass boosted, spinning and marginally-deformed D3-brane backgrounds. For the case of spinning branes we demonstrate in a few examples that perturbative stability of strings requires strong conditions complementing those following by thermodynamic stability of the dual field theories. For marginally-deformed backgrounds, we find that even in the conformal case stability may require an upper value for the imaginary part of the deformation parameter, whereas in regions of the Coulomb branch where there exists linear confinement we find that there exist stable string configurations for certain ranges of values of this parameter. We finally discuss the case of open strings with fixed endpoints propagating in Rindler space, which turns out to have an exact classical-mechanical analog.

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