相容相对论手性动力学理论：从OSEFT导出
Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
摘要：
我们建立了任意坐标系下的在壳层有效场论（OSEFT），并研究了它的重参数化不变性（RI），从而保证了它尊重Lorentz对称性。在这个公式中，OSEFT拉格朗日量看起来形式上等价于阿贝尔极限下软共线有效场论的类光速之和，两个有效场论中所涉及的规范场的尺度仍然不同。然后，我们使用的OSEFT拉格朗日展开的权力壳能量推导出如何带电的无质量费米子的经典输运方程校正的量子效应，来自量子场论。我们提供了一个制定在一个完整的协变的方式，并解释如何一致的形式的手征异常方程可以从我们的结果恢复。我们还展示了如何从OSEFT量子场的RI变换规则导出与无质量带电费米子相关的分布函数的侧跳变换。最后，我们讨论了我们的结果与其他文献中发现的差异。
英文摘要：
We formulate the on-shell effective field theory (OSEFT) in an arbitrary frame and study its reparametrization invariance (RI), which ensures that it is respectful of Lorentz symmetry. In this formulation the OSEFT Lagrangian looks formally equivalent to the sum over light-like velocities of soft collinear effective field theory in the Abelian limit, differences remain in the scale of the gauge fields involved in the two effective theories. We then use the OSEFT Lagrangian expanded in powers of the on-shell energy to derive how the classical transport equations for charged massless fermions are corrected by quantum effects, as derived from quantum field theory. We provide a formulation in a full covariant way, and explain how the consistent form of the chiral anomaly equation can be recovered from our results. We also show how the side jump transformation of the distribution function associated with massless charged fermions can be derived from the RI transformation rules of the OSEFT quantum fields. Finally, we discuss differences in our results with others found in the literature.
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