Weak field collapse in AdS: introducing a charge density
Weak field collapse in AdS: introducing a charge density
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DOI：
10.1007/jhep06(2015)111
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发表时间：
2014-11
影响因子：
5.4
通讯作者：
E. Cáceres;A. Kundu;J. F. Pedraza;Di-Lun Yang
中科院分区：
文献类型：
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作者：
E. Cáceres;A. Kundu;J. F. Pedraza;Di-Lun Yang
在渐近AdS空间中，利用自底向上的引力模型，研究了非零化学势对（2+ 1）维强耦合大Nc规范理论热化时间的影响.首先，我们构建了一个扰动的解决方案的引力方程，动态插值两个AdS黑洞背景之间具有不同的温度和化学势，在一个大体积中性标量场的微扰展开。在对偶场理论中，这对应于边缘算子的猝灭动力学，其中相应的耦合充当进行微扰的小参数。非定域观测量的演化，如纠缠熵，表明热化时间随着化学势的增加而减少。我们还评论我们的微扰分析的有效性。
We study the effect of a non-vanishing chemical potential on the thermalization time of a strongly coupled large N c gauge theory in (2+ 1)-dimensions, using a specific bottom-up gravity model in asymptotically AdS space. We first construct a perturbative solution to the gravity-equations, which dynamically interpolates between two AdS black hole backgrounds with different temperatures and chemical potentials, in a perturbative expansion of a bulk neutral scalar field. In the dual field theory, this corresponds to a quench dynamics by a marginal operator, where the corresponding coupling serves as the small parameter in which the perturbation is carried out. The evolution of non-local observables, such as the entanglement entropy, suggests that thermalization time decreases with increasing chemical potential. We also comment on the validity of our perturbative analysis.