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arXiv 2102.10946hep-phhep-th
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全息术测量轻介子的热性质

Thermal properties of light mesons from holography

Xuanmin Cao, Songyu Qiu, Hui Liu, Danning Li

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32 pages, 10 figures
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摘要：

在双味（$N_f=2$）软壁AdS/QCD模型中研究了轻介子的热性质，包括质量（屏蔽质量和极质量）和热宽度的温度依赖性.通过求解空间相关函数，我们提取了筛选质量（$m_{\rm{scr}}$）从他们的极点。赝标（$π$）和轴矢量（$a_1$）介子的屏蔽质量随温度的升高几乎单调增加。标量（$σ$）和矢量（$ρ$）介子的屏蔽质量在低温时减小，在高温时增大。从时间相关函数和相应的谱函数中提取磁极质量（$m_{\rm{pole}}$）和热宽度（$Γ$）。结果表明，极质量在低温时存在局部极小值，在高温时增大。热宽度在高于手征交叉温度$T_{cp}$时迅速增加，表明高温下介子的离解。此外，从屏蔽质量和极质量观察到了$T_{cp}$以上的手征伙伴（$π$和$σ$，$ρ$和$a_1$）的简并，揭示了强子谱水平上的手征对称性恢复.最后，我们数值验证了在时间制度的谱函数是强相关的准正常模式与复频率$ω_0=m_{\rm{pole}}-i Γ/2$。

英文摘要：

The thermal properties of light mesons, including the temperature dependence of their masses (both screening and pole masses) and thermal widths, are studied in a two-flavor ($N_f=2$) soft-wall AdS/QCD model. By solving the spatial correlation functions, we extract the screening masses ($m_{\rm{scr}}$) from their poles. The screening masses of pseudo-scalar ($π$) and axial-vector ($a_1$) mesons increase almost monotonously with the increase of temperature. The screening masses of scalar ($σ$) and vector ($ρ$) mesons decrease at low temperature and increase at high temperature. The pole masses ($m_{\rm{pole}}$) and the thermal widths ($Γ$) are extracted from the temporal correlation functions and the corresponding spectral functions. The results indicate that the pole masses have local minima at low temperature and increase at high temperature. The thermal widths increase rapidly above the chiral crossover temperature $T_{cp}$, indicating the dissociations of mesons at high temperature. Furthermore, the degeneration of the chiral partners ($π$ and $σ$, $ρ$ and $a_1$) above $T_{cp}$ is observed from the screening and pole masses, revealing the chiral symmetry restoration at the hadronic spectrum level. Finally, we numerically verify that the spectral functions in the temporal regime are strongly related to the quasi-normal modes with complex frequencies $ω_0=m_{\rm{pole}}-i Γ/2$.

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