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arXiv 0911.3544hep-thhep-phnucl-th
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重荷味膜的拟正规模

Quasinormal modes of massive charged flavor branes

Johanna Erdmenger, Constantin Greubel, Matthias Kaminski, Patrick Kerner, Karl Landsteiner, Francisco Pena-Benitez

摘要:

本文分析了在有限温度和重子密度下D3/D 7膜中的矢量和标量涨落,并对其进行了分类。在淬火近似下,该系统与具有SU(N_c)规范群和N_f超多重态的N=2超对称Yang-Mills理论是对偶的.我们改进了以往的D 7膜的拟正规模谱的结果,并强调其新颖的物理解释。在我们的研究结果中,有一种新的纯虚标量模式,在足够低的温度和重子密度下成为快子。我们建立了一个临界密度的存在,在此之上的标量模式保持在稳定的制度,所有的温度。在矢量部门,我们研究了从流体力学准粒子政权的交叉,并发现它移动到较短的波长较低的温度。在重子密度为零时,随着温度的升高,准正规模向依赖于动量的不同离散吸引子频率移动。然而,在有限重子密度下,轨道显示出转向行为,使得低温下准正规模谱接近超对称零温正规模谱。我们解释这作为分辨率的奇异准正规模谱,出现在极限D 7膜嵌入消失重子密度。

英文摘要:

We present an analysis and classification of vector and scalar fluctuations in a D3/D7 brane setup at finite termperature and baryon density. The system is dual to an N=2 supersymmetric Yang-Mills theory with SU(N_c) gauge group and N_f hypermultiplets in the fundamental representation in the quenched approximation. We improve significantly over previous results on the quasinormal mode spectrum of D7 branes and stress their novel physical interpretation. Amongst our findings is a new purely imaginary scalar mode that becomes tachyonic at sufficiently low temperature and baryon density. We establish the existence of a critical density above which the scalar mode stays in the stable regime for all temperatures. In the vector sector we study the crossover from the hydrodynamic to the quasiparticle regime and find that it moves to shorter wavelengths for lower temperatures. At zero baryon density the quasinormal modes move toward distinct discrete attractor frequencies that depend on the momentum as we increase the temperature. At finite baryon density, however, the trajectories show a turning behavior such that for low temperature the quasinormal mode spectrum approaches the spectrum of the supersymmetric zero temperature normal modes. We interpret this as resolution of the singular quasinormal mode spectrum that appears at the limiting D7 brane embedding at vanishing baryon density.

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