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arXiv 1502.05355hep-thquant-ph
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均匀恒定磁场中非零费米子密度2+1维量子电动力学中的极化算符

Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field

V. R. Khalilov, I. V. Mamsurov

摘要:

在非零费米子密度的2+1维量子电动力学(QED $_{2+1}$)单圈近似下,计算了平面带电费米子在恒定均匀磁场中的极化算符(张量).在有限化学势的QED $_{2+1}$中,构造了具有恒定均匀外磁场的Dirac方程的格林函数,求出了该格林函数的虚部,进而得到了与占据有限能级的实粒子和磁场的联合贡献有关的极化张量.我们预计,在考虑中的一些物理效应似乎是可能被揭示在单层石墨烯样品中的外部恒定均匀磁场$B$垂直于它的存在下。

英文摘要:

The polarization operator (tensor) for planar charged fermions in constant uniform magnetic field is calculated in the one-loop approximation of the 2+1 dimensional quantum electrodynamics (QED$_{2+1}$) with a nonzero fermion density. We construct the Green function of the Dirac equation with a constant uniform external magnetic field in the QED$_{2+1}$ at the finite chemical potential, find the imaginary part of this Green function and then obtain the polarization tensor related to the combined contribution from real particles occupying the finite number of energy levels and magnetic field. We expect that some physical effects under consideration seem to be likely to be revealed in a monolayer graphene sample in the presence of external constant uniform magnetic field $B$ perpendicular to it.

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