论文标题
带有手性相变的热QGP的剪切粘度和电导率
Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition
论文作者
论文摘要
我们计算两个传输系数 - 熵比$η/s $的剪切粘度以及电导率与温度的比率$σ_0/t $ - 在扩展的$ n_f = 3 $ n_f = 3 $ n_f = 3 $ polyakov nambu-jonabu-jona-jona-lasinio(pnjl)中的扩展质量很强,沿交叉势值$ 0. 0.9 $ GEV以及在关键端点(CEP)的附近以及在大型Baryon化学势下$μ__b= 1.2 $ GEV,其中一阶相变发生了。在松弛时间近似中,根据有效的玻尔兹曼方程进行运输系数的评估。我们采用两种不同的方法来计算夸克放松时间:i)使用通过热平均夸克 - 夸克和夸克式夸克pnjl pnjl横截面定义的平均过渡速率,以及ii)使用“加权”热平均Quark-Quark-Quark-Quark-Quark-Quark-Quark-Quark-Quark-Quark-Quark-Quark-quark-antiquark pnjl横断面。 $η/s $和$σ_0/t $传输系数在接近两种方法的手性相变时的温度和化学潜力行为都具有相似的温度和化学势行为,但是,随着温度的升高,差异随着温度的升高而增长。我们证明了一阶相变和CEP对QCD培养基中传输系数的影响。
We calculate two transport coefficients -- the shear viscosity over entropy ratio $η/s$ and the ratio of the electric conductivity to the temperature $σ_0/T$ -- of strongly interacting quark matter within the extended $N_f=3$ Polyakov Nambu-Jona-Lasinio (PNJL) model along the crossover transition line for moderate values of baryon chemical potential $0 \leq μ_B \leq 0.9$ GeV as well as in the vicinity of the critical endpoint (CEP) and at large baryon chemical potential $μ_B=1.2$ GeV, where the first-order phase transition takes place. The evaluation of the transport coefficients is performed on the basis of the effective Boltzmann equation in the relaxation time approximation. We employ two different methods for the calculation of the quark relaxation times: i) using the averaged transition rate defined via thermal averaged quark-quark and quark-antiquark PNJL cross sections and ii) using the 'weighted' thermal averaged quark-quark and quark-antiquark PNJL cross sections. The $η/s$ and $σ_0/T$ transport coefficients have a similar temperature and chemical potential behavior when approaching the chiral phase transition for the both methods for the quark relaxation time, however, the differences grow with increasing temperature. We demonstrate the effect of the first-order phase transition and of the CEP on the transport coefficients in the deconfined QCD medium.