磁化等离子体中的光子偏振张量：吸收部分
Photon polarization tensor in a magnetized plasma: Absorptive part
摘要：
计算了热磁化相对论等离子体中光子偏振张量的吸收部分。在推导中，我们利用朗道级表示的费米子格林函数在混合坐标动量空间，并获得一个封闭的形式表示的单圈极化张量。在耦合的第一阶，其吸收部分由粒子和反粒子分裂过程（分别为$e^{-} \leftrightarrow e^{-}+γ$和$e^{+} \leftrightarrow e^{+}+γ$）以及粒子-反粒子湮灭过程（$e^{-} + e^{+}\leftrightarrow γ$）决定。给出了朗道能级间量子跃迁的解释。利用光子极化张量，研究了磁化相对论等离子体量子极限下的微分光子发射率。在低能量下，光子发射具有长形轮廓，其对称轴沿着磁场的线。另一方面，在高能量下，光子发射具有扁球形轮廓。这两种制度都说明了造成这种排放情况的根本原因。光子极化张量的一般结果也被用来计算磁光电导率的纵向和横向分量。
英文摘要：
We calculate the absorptive part of the photon polarization tensor in a hot magnetized relativistic plasma. In the derivation, we utilize a Landau-level representation for the fermion Green's function in a mixed coordinate-momentum space and obtain a closed-form expression for the one-loop polarization tensor. At the leading order in the coupling, its absorptive part is determined by particle and antiparticle splitting processes ($e^{-} \leftrightarrow e^{-}+γ$ and $e^{+} \leftrightarrow e^{+}+γ$, respectively), as well as by particle-antiparticle annihilation processes ($e^{-} + e^{+}\leftrightarrow γ$). The interpretation in terms of quantum transitions between Landau levels is also given. By making use of the photon polarization tensor, we study the differential photon emission rate in the quantum limit of magnetized relativistic plasma. At low energies, the photon emission has a prolate profile with the symmetry axis along the line of the magnetic field. At high energies, on the other hand, the photon emission has an oblate profile. The underlying reasons for such emission profiles are given in both regimes. The general result for the photon polarization tensor is also used to calculate the longitudinal and transverse components of magneto-optical conductivity.
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