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arXiv 1806.02605hep-ph
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手征涡旋效应剖析

Anatomy of the chiral vortical effect

Ruslan Abramchuk, Z. V. Khaidukov, M. A. Zubkov

摘要:

我们考虑存在转动的相对论性转动费米子系统。旋转被设置为角动量的增强。在这种方法中,角动量的角速度和密度的化学势起着相同的作用。我们计算的轴向电流使用的狄拉克方程与MIT袋边界条件的直接解。其次,我们考虑转动描述的另一种方式,其中物质的局域速度乘以化学势作为有效规范场。在这种方法中,这是可能的轴向电流的手征涡效应的无质量费米子的动量空间中的拓扑不变量,这是强大的相互作用的引入。我们比较了使用上述两种方法获得的轴向电流的结果。

英文摘要:

We consider the system of relativistic rotating fermions in the presence of rotation. The rotation is set up as an enhancement of the angular momentum. In this approach the angular velocity for the angular momentum plays the same role as the chemical potential for density. We calculate the axial current using the direct solutions of the Dirac equation with the MIT bag boundary conditions. Next, we consider the alternative way of the rotation description, in which the local velocity of the substance multiplied by the chemical potential serves as the effective gauge field. In this approach this is possible to relate the axial current of the chiral vortical effect for the massless fermions to the topological invariant in momentum space, which is robust to the introduction of interactions. We compare the results for the axial current obtained using the two above mentioned approaches.

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