Extension to imaginary chemical potential in a holographic model
Extension to imaginary chemical potential in a holographic model
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DOI：
10.1103/physrevd.102.046003
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发表时间：
2020-05
影响因子：
5
通讯作者：
K. Ghoroku;K. Kashiwa;Y. Nakano;M. Tachibana;F. Toyoda
中科院分区：
文献类型：
--
作者：
K. Ghoroku;K. Kashiwa;Y. Nakano;M. Tachibana;F. Toyoda
我们将用于研究QCD彩色超导性的自底向上全息模型推广到虚化学势（$\mu_I$）区域，并在$\mu_I$ -温度(T)平面上研究相图。对探针近似的情况和考虑风味费米子反反应的背景进行了分析。对于这两种情况，我们都可以找到预期的Roberge-Weiss （RW）转换。在反反应溶液的情况下，发现颜色数$N_c$的一个界产生RW周期性。表示为$N_c\geq 1.2$。此外，将我们的结果与$\mu_I=0$附近的晶格QCD的结果进行比较，可以保证该扩展模型的有效性。
We extend a bottom up holographic model, which has been used in studying the color superconductivity in QCD, to the imaginary chemical potential ($\mu_I$) region, and the phase diagram is studied on the $\mu_I$-temperature (T) plane. The analysis is performed for the case of the probe approximation and for the background where the back reaction from the flavor fermions are taken into account. For both cases, we could find the expected Roberge-Weiss (RW) transitions. In the case of the back-reacted solution, a bound of the color number $N_c$ is found to produce the RW periodicity. It is given as $N_c\geq 1.2$. Furthermore, we could assure the validity of this extended model by comparing our result with the one of the lattice QCD near $\mu_I=0$.