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张啟玥, 张昭. Polyakov-loop拓展的夸克介子模型中的Roberge-Weiss相变研究[J]. 原子核物理评论, 2020, 37(3): 713-719. DOI: 10.11804/NuclPhysRev.37.2019CNPC35
引用本文: 张啟玥, 张昭. Polyakov-loop拓展的夸克介子模型中的Roberge-Weiss相变研究[J]. 原子核物理评论, 2020, 37(3): 713-719. DOI: 10.11804/NuclPhysRev.37.2019CNPC35
Qiyue ZHANG, Zhao ZHANG. Roberge-Weiss Transition in the Polyakov-loop Extended Quark-meson Model[J]. Nuclear Physics Review, 2020, 37(3): 713-719. DOI: 10.11804/NuclPhysRev.37.2019CNPC35
Citation: Qiyue ZHANG, Zhao ZHANG. Roberge-Weiss Transition in the Polyakov-loop Extended Quark-meson Model[J]. Nuclear Physics Review, 2020, 37(3): 713-719. DOI: 10.11804/NuclPhysRev.37.2019CNPC35

Polyakov-loop拓展的夸克介子模型中的Roberge-Weiss相变研究

Roberge-Weiss Transition in the Polyakov-loop Extended Quark-meson Model

  • 摘要: \mathbbZ_3-QCD是具有严格中心对称性的类QCD理论,研究其在特殊条件下的性质有助于理解QCD退禁闭相变。本文应用三种味道的Polyakov-loop拓展的夸克介子模型作为\mathbbZ_3-QCD的低能有效理论,研究了不同中心对称性破缺模式下的Roberge-Weiss(RW)相变。为保证RW周期性,本文采用味道依赖的虚化学势(\mu_\rmu,\mu_\rmd,\mu_\rms)=\rmiT(\theta-2C\pi/3,\theta,\theta+2C\pi/3),其中0\!\leqslant\!C\!\leqslant1。传统的和夸克反馈效应改进的两种不同Polyakov-loop势被分别用于相应的计算。研究表明,当N_\rmf\!=\!3C\!\ne\!1时,RW相变出现在\theta=\pi/3(mod 2\pi/3)处,其强度随C值的减小而加强;当C\!=\!1N_\rmf\!=\!2\!+\!1时,RW相变位置出现反常,变为\theta=2\pi/3(mod 2\pi/3);而当C\!=\!1N_\rmf\!=\!1\!+\!2时,RW相变点又返回\theta\!=\!\pi/3(mod 2\pi/3)。上述几种情形的RW相变端点均为三相点。研究发现,夸克反馈效应使得RW相变强度减弱,退禁闭相变温度变低,但并未改变前述的定性结论。

     

    Abstract: \mathbbZ_3-QCD is a QCD-like theory with strict center symmetry. We use the Polyakov-loop extended quark meson model (PQM) as a low-energy effective theory of \mathbbZ_3-QCD to study the RW transitions in different center symmetry breaking patterns. The flavor-dependent imaginary chemical potentials, namely (\mu_\rmu,\,\mu_\rmd,\,\mu_\rms)= \rmiT(\theta-2C\pi/3,\theta,\theta+2C\pi/3) are adopted, which guarantees the RW periodicity. The traditional and quark improved Polyakov-loop potentials are used, respectively. For N_\rmf\!=\!3 with C\!\ne\!1, the RW transition occurs at \theta\!=\!\pi/3 (mod 2\pi/3), which gets stronger when C declines from one to zero. When C\!=\!1, the RW transition happens at \theta\!=\!2\pi/3 (mod 2\pi/3) for N_\rmf\!=\!2+1, but \theta\!=\!\pi/3 (mod 2\pi/3) for N_\rmf\!=\!1+2. We find that all RW transition endpoints are triple points when C\!=\!1. We confirm that the RW transition becomes weaker and the deconfinement temperature gets lower when taking into account the quark back-reaction effect. However, the modification of the gluon sector due to the quark effect does not change the main conclusions mentioned above.

     

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