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arXiv 1608.04075hep-thhep-ph
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紧化D0-D4膜系统中的声波

Sound waves in the compactified D0-D4 brane system

Wenhe Cai, Si-wen Li

摘要:

作为我们以前工作的推广,我们研究了带有涂抹D 0-膜的黑色D4-膜背景下的Witten-Sakai-Sugimoto模型(D 0-D4/D8系统)的输运性质。由于D 0-膜的存在,在泡状结构中,该模型与4d QCD或带有Chern-Simons项的Yang-Mills理论是全息对偶的。D 0-膜的数密度对应于对偶场论中Chern-Simons项的耦合常数($θ$角)。由于QCD中Chern-Simons项的耦合很弱,因此本文将重点放在D 0-膜的小数密度上来研究黑D 0-D4膜系统中的声模。在此基础上,我们推导了它的5维等效理论,并利用规范/引力对偶性方法,解析地计算了它的声速和声波衰减。我们的结果表明,声速和声波的衰减被修改的D 0-膜的存在。因此,它们依赖于$θ$角或在这个全息描述中的手征势。

英文摘要:

As an extension to our previous work, we study the transport properties of the Witten-Sakai-Sugimoto model in the black D4-brane background with smeared D0-branes (D0-D4/D8 system). Because of the presence of the D0-branes, in the bubble configuration this model is holographically dual to 4d QCD or Yang-Mills theory with a Chern-Simons term. And the number density of the D0-branes corresponds to the coupling constant ($θ$ angle) of the Chern-Simons term in the dual field theory. In this paper, we accordingly focus on small number density of the D0-branes to study the sound mode in the black D0-D4 brane system since the coupling of the Chern-Simons term should be quite weak in QCD. Then we derive its 5d effective theory and analytically compute the speed of sound and the sound wave attenuation in the approach of Gauge/Gravity duality. Our result shows the speed of sound and the sound wave attenuation is modified by the presence of the D0-branes. Thus they depend on the $θ$ angle or chiral potential in this holographic description.

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