Abelian and non-Abelian Berry curvatures in lattice QCD
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...
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| Format: | Article |
| Language: | English |
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Elsevier
2018-08-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321318301627 |
| _version_ | 1818540987463499776 |
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| author | Shi Pu Arata Yamamoto |
| author_facet | Shi Pu Arata Yamamoto |
| author_sort | Shi Pu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T22:02:37Z |
| format | Article |
| id | doaj.art-d8406efcf4304052bc9a8a6e4cc9882b |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-11T22:02:37Z |
| publishDate | 2018-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-d8406efcf4304052bc9a8a6e4cc9882b2022-12-22T00:49:03ZengElsevierNuclear Physics B0550-32132018-08-019335364Abelian and non-Abelian Berry curvatures in lattice QCDShi Pu0Arata Yamamoto1Department of Physics, The University of Tokyo, Tokyo 113-0033, JapanCorresponding author.; Department of Physics, The University of Tokyo, Tokyo 113-0033, JapanWe 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.http://www.sciencedirect.com/science/article/pii/S0550321318301627 |
| spellingShingle | Shi Pu Arata Yamamoto Abelian and non-Abelian Berry curvatures in lattice QCD Nuclear Physics B |
| title | Abelian and non-Abelian Berry curvatures in lattice QCD |
| title_full | Abelian and non-Abelian Berry curvatures in lattice QCD |
| title_fullStr | Abelian and non-Abelian Berry curvatures in lattice QCD |
| title_full_unstemmed | Abelian and non-Abelian Berry curvatures in lattice QCD |
| title_short | Abelian and non-Abelian Berry curvatures in lattice QCD |
| title_sort | abelian and non abelian berry curvatures in lattice qcd |
| url | http://www.sciencedirect.com/science/article/pii/S0550321318301627 |
| work_keys_str_mv | AT shipu abelianandnonabelianberrycurvaturesinlatticeqcd AT aratayamamoto abelianandnonabelianberrycurvaturesinlatticeqcd |