论文标题

Wigner功能方法中的手性异常,Dirac Sea和Berry Monopole

Chiral Anomaly, Dirac Sea and Berry monopole in Wigner Function Approach

论文作者

Fang, Ren-Hong, Gao, Jian-Hua

论文摘要

在Wigner功能形式主义中,手性异常自然来自非正常订购的Wigner功能的Dirac Sea贡献。对于无质量的费米子,狄拉克海的贡献就像欧几里得动量空间中的4维或三维浆果单子一样,而对于大量的费米子,尽管狄拉克海仍然导致手性异常,但是在红外动量区域没有浆果单子。我们在一个简单而具体的示例中明确讨论了这些要点。

Within Wigner function formalism, the chiral anomaly arises naturally from the Dirac sea contribution in un-normal-ordered Wigner function. For massless fermions, the Dirac sea contribution behaves like a 4-dimensional or 3-dimensional Berry monopole in Euclidian momentum space, while for massive fermions, although Dirac sea still leads to the chiral anomaly but there is no Berry monopole at infrared momentum region. We discuss these points explicitly in a simple and concrete example.

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