论文标题
在全息模型中扩展到假想化学势
Extension to Imaginary Chemical Potential in a Holographic Model
论文作者
论文摘要
我们将自下而上的全息模型扩展到了QCD中的颜色超导性，该模型已将其扩展到虚构的化学势（$μ_i$）区域，并在$μ_i$ - 温度（T）平面上研究了相图。对探针近似的情况和背景进行了分析。在这两种情况下，我们都可以找到预期的Roberge-Weiss（RW）过渡。在后反应解决方案的情况下，发现颜色数$ N_C $的界限可产生RW周期性。它以$ N_C \ GEQ 1.2 $给出。此外，我们可以通过将我们的结果与接近$μ_i= 0 $的晶格QCD进行比较来确保该扩展模型的有效性。
We extend a bottom up holographic model, which has been used in studying the color superconductivity in QCD, to the imaginary chemical potential ($μ_I$) region, and the phase diagram is studied on the $μ_I$-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 $μ_I=0$.
