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arXiv 2209.08545hep-phhep-th
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手性分离效应与手性异常

Chiral Separation Effect vs. Chiral Anomaly

Z. V. Khaidukov, R. A. Abramchuk

摘要:

研究了手征分离效应与手征反常的关系,认为手征分离效应并不继承手征反常的不变性。对于电荷中的首阶QED,利用实时正则化方法中的点分裂正则化,我们证明了CSE是一种红外(IR)效应,而反常是一种紫外(UV)现象。因此,CSE一般对改变理论IR性质的非微扰相互作用敏感,而异常由洛伦兹对称性固定。这种相互作用最简单的例子是Yukawa类费米子质量。

英文摘要:

We study relation between Chiral Separation Effect (CSE) and Chiral Anomaly, and argue that CSE does not inherit the immutability of Chiral Anomaly. For QED in the leading order in electric charge, with point-splitting regularization in real-time formalism, we demontrate, in regularization-dependent way though, that CSE is an infrared (IR) effect, while the Anomaly is an ultra-violet (UV) phenomena. Thus, CSE in general is sensitive to non-perturbative interactions that alter the theory IR properties, while the Anomaly is fixed by Lorentz symmetry. The simplest example of such an interaction is the Yukawa-like fermion mass.

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