论文标题
动力学理论中的保形异常和螺旋效应通过量表依赖性耦合
Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling
论文作者
论文摘要
我们修改了无质量费米子的动力学理论，以结合保形异常的作用。我们在无碰撞状态下工作，我们通过动量依赖性电耦合模仿保形异常。在此处方中，共形异常在动量空间中导致类似刺猬的结构，类似于与轴向异常相关的浆果相。轴向和共形异常之间的相互作用会产生轴向电流，与电磁背景的螺旋流量成正比。相应的电导率取决于狄拉克锥和费米表面之间的电耦合的运行。
We modify a kinetic theory of massless fermions to incorporate the effects of the conformal anomaly. Working in a collisionless regime, we emulate the conformal anomaly via a momentum-dependent electric coupling. In this prescription, the conformal anomaly leads to a hedgehog-like structure in the momentum space similar to the Berry phase associated with the axial anomaly. The interplay between the axial and conformal anomalies generates the axial current, proportional to the helicity flow of the electromagnetic background. The corresponding conductivity is determined by the running of the electric coupling between the tip of the Dirac cone and the Fermi surface.
