On stability and transport of cold holographic matter

On stability and transport of cold holographic matter
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冷全息物质的稳定性和输运

DOI:
10.1007/jhep09(2011)030
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发表时间:
2011
影响因子:
5.4
通讯作者:
J. Shock
J. Shock
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Ammon;J. Erdmenger;Shu Lin;Steffen Müller;A. O’Bannon;J. Shock

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我们利用量规-重力对偶性研究了$ \mathcal{N} = 4 $超对称SU(Nc) Yang-Mills理论耦合到$ \mathcal{N} = 2 $超多重元在大Nc和大耦合极限下的零温度、有限重子密度态的稳定性。特别地,我们研究介子的谱。对偶描述是反德西特空间中具有特定世界体积场构型的探针d7膜。介子谱与世界体积场的波动谱是对偶的。我们结合使用解析和数值技术来计算谱,包括一种特殊的数值技术,用于处理波动运动方程中的奇点。尽管间接证据表明系统可能是不稳定的,例如零度下的有限熵密度和类似理论中不稳定性的存在,但我们没有发现任何不稳定的证据,至少在我们考虑的频率和动量范围内是如此。我们在标量介子两点函数中发现了虚频轴上的极点,类似于守恒电荷两点函数中的扩散模式。
We use gauge-gravity duality to study the stability of zero-temperature, finite baryon density states of $ \mathcal{N} = 4 $ supersymmetric SU(Nc) Yang-Mills theory coupled to a single massive fundamental-representation $ \mathcal{N} = 2 $ hypermultiplet in the large-Nc and large-coupling limits. In particular, we study the spectrum of mesons. The dual description is a probe D7-brane in anti-de Sitter space with a particular configuration of worldvolume fields. The meson spectrum is dual to the spectrum of fluctuations of worldvolume fields about that configuration. We use a combination of analytical and numerical techniques to compute the spectrum, including a special numerical technique designed to deal with singular points in the fluctuations’ equations of motion. Despite circumstantial evidence that the system might be unstable, such as a finite entropy density at zero temperature and the existence of instabilities in similar theories, we find no evidence of any instabilities, at least for the ranges of frequency and momenta that we consider. We discover a pole on the imaginary frequency axis in a scalar meson two-point function, similar to the diffusive mode in the two-point function of a conserved charge.
DOI: 10.1007/jhep08(2011)140
发表时间: 2011-06
影响因子: 5.4
作者:
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通讯作者: Aristomenis Donos;J. Gauntlett
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DOI: 10.1103/physrevlett.102.051602
发表时间: 2009
影响因子: 8.6
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Karch A
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