Covariant chiral kinetic equation in the Wigner function approach
Covariant chiral kinetic equation in the Wigner function approach
复制标题
维格纳函数方法中的协变手性动力学方程
DOI：
10.1103/physrevd.96.016002
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发表时间：
2017
影响因子：
5
通讯作者：
Wang Qun
中科院分区：
文献类型：
--
作者：
Gao Jian-hua;Pu Shi;Wang Qun
在静态平衡条件下，用改进的微扰方法从四维Wigner函数出发，导出了协变手征动力学方程。通过积分四动量的时间分量，可以得到三维的手征动力学方程。守恒法允许在CCKE中添加更多条款的自由。在三维方程的推导中，还可以自由选择dx0/dτ中某些项的系数，dx/dτ[τ是沿世界线的参数，(x0，x)表示粒子的时空位置，其三动量积分正在消失。因此，由CCKE导出的三维手性动力学方程在目前的方法中并不是唯一确定的。我们方法的关键假设是在静态平衡条件下时空导数和恒定电磁场强度张量的幂的微扰。为了超越目前的方法并克服这些问题，需要一种新的方法来建立由CCKE或直接从协变Wigner方程建立的三维手性动力学方程。
The covariant chiral kinetic equation (CCKE) is derived from the four-dimensional Wigner function by an improved perturbative method under the static equilibrium conditions. The chiral kinetic equation in three dimensions can be obtained by integration over the time component of the four-momentum. There is freedom to add more terms to the CCKE allowed by conservation laws. In the derivation of the three-dimensional equation, there is also freedom to choose coefficients of some terms in dx0/dτ and dx/dτ [τ is a parameter along the worldline, and (x0,x) denotes the time-space position of a particle] whose three-momentum integrals are vanishing. So the three-dimensional chiral kinetic equation derived from the CCKE is not uniquely determined in the current approach. The key assumption of our approach is the perturbation in powers of space-time derivative and constant electromagnetic field strength tensor under the static equilibrium conditions. To go beyond the current approach and overcome these problems one needs a new way of building up the three-dimensional chiral kinetic equation from the CCKE or directly from covariant Wigner equations.