论文标题
2+1维度的量子动力学方程和动态质量产生
The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions
论文作者
论文摘要
在这项工作中，我们通过执行最高$ \ hbar $ order的系统性半古典扩展来研究来自Wigner函数形式主义的2+1个维度的相对论量子动力学方程。派生的方程式使我们能够在2+1个维度中探索有趣的传输现象。在此框架内，由外部电磁场引起的奇偶元运输电流是自谐的。我们还通过实现与平均场近似值的四个特里米昂相互作用来检查动态质量产生。在这种情况下，发现一种新型的运输电流是由平均场冷凝物的梯度诱导的。最后，我们还利用该框架来研究平衡下2+1维系统外部磁场中的动态质量产生。
In this work, we study the relativistic quantum kinetic equations in 2+1 dimensions from Wigner function formalism by carrying out a systematic semi-classical expansion up to $\hbar$ order. The derived equations allow us to explore interesting transport phenomena in 2+1 dimensions. Within this framework, the parity-odd transport current induced by the external electromagnetic field is self-consistently derived. We also examine the dynamical mass generation by implementing four-fermion interaction with mean-field approximation. In this case, a new kind of transport current is found to be induced by the gradient of the mean-field condensate. Finally, we also utilize this framework to study the dynamical mass generation in an external magnetic field for the 2+1 dimensional system under equilibrium.
