论文标题
Zilch的涡旋效应
Zilch Vortical Effect for Fermions
论文作者
论文摘要
我们将文献中最近讨论的Zilch电流的概念视为光子的替代螺旋度度量。提出这一想法,我们建议将Zilch的概括用于费米斯系统。我们从手性动力学理论框架中光子Zilch电流的定义开始,并使用Wigner函数形式主义对费米子Zilch进行了现场理论定义。该对象具有与光子Zilch相似的特性,并且在非相互作用理论中是保守的。我们还表明,与光子的情况完全类似,Fermionic Zilch因中旋转而获得了非平凡的贡献-Fermions的介质旋转 - Zilch涡流效应(ZVE)。结合先前研究的光子ZVE,这些结果形成了一组更广泛的手性效应,该效应由颗粒的自旋和电流的自旋形成参数。我们简要讨论了ZVE的起源,它可能与基础微观理论中的异常关系以及在手学培养基中研究自旋极化的可能应用。
We consider the notion of zilch current that was recently discussed in the literature as an alternative helicity measure for photons. Developing this idea, we suggest the generalization of the zilch for the systems of fermions. We start with the definition of the photonic zilch current in chiral kinetic theory framework and work out field-theoretical definition of the fermionic zilch using the Wigner function formalism. This object has similar properties to the photonic zilch and is conserved in the non-interacting theory. We also show that, in full analogy with a case of photons, the fermionic zilch acquires a non-trivial contribution due to the medium rotation - zilch vortical effect (ZVE) for fermions. Combined with a previously studied ZVE for photons, these results form a wider set of chiral effects parameterized by the spin of the particles and the spin of the current. We briefly discuss the origin of the ZVE, its possible relation to the anomalies in the underlying microscopic theory and possible application for studying the spin polarization in chiral media.