Lorentz Invariance in Chiral Kinetic Theory
Lorentz Invariance in Chiral Kinetic Theory
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DOI：
10.1103/physrevlett.113.182302
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发表时间：
2014-10-30
影响因子：
8.6
通讯作者：
Yin, Yi
中科院分区：
文献类型：
--
作者：
Chen, Jing-Yuan;Son, Dam T.;Yin, Yi
我们表明，洛伦兹不变性是实现非平凡的经典作用的无质量自旋1/2粒子与一定的螺旋度。我们发现，普通的洛伦兹变换修改的平移正交的助推矢量和粒子动量。这种位移确保了粒子碰撞中的角动量守恒，并意味着由于侧跳而导致的洛伦兹不变动力学理论中的碰撞项的非定域性。我们发现，均匀旋转粒子分布的手征涡旋效应的2/3可以归因于洛伦兹不变性所需的磁矩耦合。我们还展示了如何经典的行动，可以通过采取经典极限的Weyl粒子的路径积分。
We show that Lorentz invariance is realized nontrivially in the classical action of a massless spin-1/2 particle with definite helicity. We find that the ordinary Lorentz transformation is modified by a shift orthogonal to the boost vector and the particle momentum. The shift ensures angular momentum conservation in particle collisions and implies a nonlocality of the collision term in the Lorentz-invariant kinetic theory due to side jumps. We show that 2/3 of the chiral-vortical effect for a uniformly rotating particle distribution can be attributed to the magnetic moment coupling required by the Lorentz invariance. We also show how the classical action can be obtained by taking the classical limit of the path integral for a Weyl particle.