论文标题
手性系统中的二阶电流和应力张量
Second-order Charge Currents and Stress Tensor in Chiral System
论文作者
论文摘要
我们解决了在全局平衡附近的无质旋转1/2带电的费米的Wigner方程。可以通过在涡度和电磁场的功率扩展中订单来获得Wigner函数。 Wigner函数已得出至第二阶，可以从中获得非隔离电荷电流和应力张量。电荷和能量密度以及压力在二阶中从涡度和电磁场中贡献。可以在二阶沿涡流和电磁场的方向触发矢量和轴向霍尔电流。我们还发现，通过包括电磁场的量子校正，痕量异常在重新拟合应力张量方面出现。
We solve the Wigner equation for massless spin-1/2 charged fermions near global equilibrium. The Wigner function can be obtained order by order in the power expansion of the vorticity and electromagnetic field. The Wigner function has been derived up to the second order from which the non-dissipative charge currents and the stress tensor can be obtained. The charge and energy densities and the pressure have contributions from the vorticity and electromagnetic field at the second order. The vector and axial Hall currents can be induced along the direction orthogonal to the vorticity and electromagnetic field at the second order. We also find that the trace anomaly emerges natually in renormalizing the stress tensor by including the quantum correction from the electromagnetic field.
