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

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 نشر من قبل Jian-Hua Gao
 تاريخ النشر 2020
  مجال البحث
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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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