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

作者：Fang, Ren-Hong; Gao, Jian-Hua^*

来源：Nuclear Physics A, 2021, 1005: 121851.

DOI：10.1016/j.nuclphysa.2020.121851

• Wigner function
• chiral anomaly
• Berry monopole

Within Wigner function formalism, the chiral anomaly arises naturally from the Dirac sea contribution in un-normalordered 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 genuine Berry monopole. We discuss these points explicitly in a simple and concrete example.

• 单位
  山东大学