非均匀电场中热磁化碰撞QCD介质的纵向电导率
Longitudinal conductivity of hot magnetized collisional QCD medium in the inhomogeneous electric field
摘要：
本文研究了热磁化夸克-胶子等离子体中非均匀电场引起的纵向电流密度，并利用它求出了介质的电导率。分析已完成的领域的不均匀性是小的，使碰撞效应可能是显着的制度。QCD介质的建模是基于准粒子描述，其中介质效应已被编码在有效夸克，反夸克和胶子。通过求解带有适当碰撞项的$(1+1)-$维有效协变动力学理论，得到了线性纵向电流密度（以电场表示）和由于电场不均匀性引起的电流密度附加分量（以其导数表示）的温度依赖关系。电导率是由非均匀场作用下的电流密度求得的。介质的碰撞方面已被捕获，包括热弛豫近似和Bhatnagar-Gross-Krook碰撞内核的分析。进一步研究了热QCD介质效应和高朗道能级对电流密度和电导率的贡献。已经看到，场的不均匀性和平均场修正对电流密度和电导率的影响在离转变温度不远的温度区域中更明显。
英文摘要：
The longitudinal current density induced by the inhomogeneous electric field in the hot magnetized quark-gluon plasma has been investigated and utilized in obtaining the conductivity of the medium. The analysis has been done in the regime where inhomogeneity of the field is small so that the collision effect could be significant. The modeling of the QCD medium is based on a quasiparticle description where the medium effects have been encoded in the effective quarks, antiquarks and gluons. The temperature dependence of the linear longitudinal current density (in terms of the electric field) and the additional components of current density due to the inhomogeneity of electric field (in terms of its derivatives) have been obtained by solving the $(1+1)-$dimensional effective covariant kinetic theory with a proper collision term. The conductivity has been obtained from the current density in the presence of the inhomogeneous field. The collisional aspects of the medium have been captured by including both thermal relaxation approximation and the Bhatnagar-Gross-Krook collision kernels in the analysis. Further, the hot QCD medium effects and higher Landau level contributions to the current density and the conductivity have been investigated. It has been seen that the effects of inhomogeneity of the field and the mean field corrections to the current density and the conductivity are more visible in the temperature regions which are not far from the transition temperature.
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