Abelian and non-Abelian Berry curvatures in lattice QCD

被引:3
|
作者
Pu, Shi [1 ]
Yamamoto, Arata [1 ]
机构
[1] Univ Tokyo, Dept Phys, Tokyo 1130033, Japan
关键词
CHIRAL GAUGE-THEORIES; OVERLAP FORMULATION; ELECTRON-DENSITY; PHASE CORRECTION; FERMIONS; COLLISIONS; DYNAMICS; SOLIDS; SPIN;
D O I
10.1016/j.nuclphysb.2018.06.005
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We studied the Berry curvature of the massive Dirac fermion in 3 + 1 dimensions. For the non-interacting Dirac fermion, the Berry curvature is non-Abelian because of the degeneracy of positive and negative helicity modes. We calculated the non-Abelian Berry curvature analytically and numerically. For the interacting Dirac fermion in QCD, the degeneracy is lost because gluons carry helicity and color charge. We calculated the Abelian Berry curvature in lattice QCD. (c) 2018 The Author(s). Published by Elsevier B.V.
引用
收藏
页码:53 / 64
页数:12
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