Stripe instabilities of geometries with hyperscaling violation
Stripe instabilities of geometries with hyperscaling violation
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DOI：
10.1103/physrevd.87.126006
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发表时间：
2013-01
影响因子：
5
通讯作者：
Norihiro Iizuka;Kengo Maeda
中科院分区：
文献类型：
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作者：
Norihiro Iizuka;Kengo Maeda
我们研究了在红外波段超标度破坏几何上的动力学条纹不稳定性，它在紫外波段渐近逼近AdS 4。这些不稳定性自发地破坏了平移不变性，并由体作用量中的轴子项aF <$F引起。我们首先研究了探测极限下的微扰方程，发现由轴子项引起的条纹不稳定性与决定IR超标度破坏的理论参数之间存在很强的相关性。相反的IR AdS 2的情况下，轴子项的条纹不稳定性的效果可以增强/抑制在低温下取决于参数。对于一类单参数超标度破坏，我们在轴子耦合调谐模型中解析地发现了条纹不稳定性的发生。对于一个更一般的参数范围内的超标度破坏，我们研究了不稳定性的开始，通过搜索零模式的全几何数值。我们还认为，考虑到引力子波动后，相当类似的结果成立，即，超出了探测极限。
We study the dynamical stripe instabilities on the geometries with hyperscaling violation in the IR, which asymptotically approach AdS4 in the UV. The instabilities break the translational invariance spontaneously and are induced by the axion term ∼aF∧F in the bulk action. We first study the perturbation equations in the probe limit, and find that there is a strong correlation between the stripe instabilities caused by the axion term and parameters of the theories which determine the IR hyperscaling violation. Contrary to the IR AdS2 case, the effect of the axion term for the stripe instabilities can be enhanced/suppressed at low temperature depending on the parameters. For a certain one-parameter family of the hyperscaling violation, we find the onset of the stripe instability analytically in the axion coupling tuned model. For a more generic parameter range of hyperscaling violation, we study the instability onset by searching for the zero mode numerically on the full geometries. We also argue that quite analogous results hold after taking into account the graviton fluctuation, i.e., beyond the probe limit.