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arXiv 0903.2209hep-th
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全息超导体的流体力学

Hydrodynamics of Holographic Superconductors

Irene Amado, Matthias Kaminski, Karl Landsteiner

摘要:

本文研究了全息超导体的延迟格林函数的极点。该模型显示了一个二级相变,其中带电标量算符凝聚和U(1)对称性自发破缺。全息格林函数的极点是AdS黑洞背景中的准正规模。我们研究了在破碎的阶段,在那里我们建立了一个无质量或流体动力学模式的外观在临界温度预期的二阶相变的准正常频率的频谱。在断相中,我们找到代表第二个声音的极点。我们计算了二次声速及其衰减长度随温度的变化。此外,我们发现了一个伪扩散模式,其频率是纯虚的,但在零动量的非零间隙。这个间隙在临界温度时变为零。作为一个技术方面的结果,我们解释了如何计算全息格林函数和他们的准正规模式的一组运营商混合下的RG流。

英文摘要:

We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the spectrum of quasinormal frequencies in the broken phase, where we establish the appearance of a massless or hydrodynamic mode at the critical temperature as expected for a second order phase transition. In the broken phase we find the pole representing second sound. We compute the speed of second sound and its attenuation length as function of the temperature. In addition we find a pseudo diffusion mode, whose frequencies are purely imaginary but with a non-zero gap at zero momentum. This gap goes to zero at the critical temperature. As a technical side result we explain how to calculate holographic Green functions and their quasinormal modes for a set of operators that mix under the RG flow.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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