Weyl fermions in a non-abelian gauge background and trace anomalies
Abstract We study the trace and chiral anomalies of Weyl fermions in a non-abelian gauge background in four dimensions. Using a Pauli-Villars regularization we identify the trace anomaly, proving that it can be cast in a gauge invariant form, even in the presence of the non-abelian chiral anomaly, t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2019)241 |
| _version_ | 1819090133280882688 |
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| author | Fiorenza Bastianelli Matteo Broccoli |
| author_facet | Fiorenza Bastianelli Matteo Broccoli |
| author_sort | Fiorenza Bastianelli |
| collection | DOAJ |
| description | Abstract We study the trace and chiral anomalies of Weyl fermions in a non-abelian gauge background in four dimensions. Using a Pauli-Villars regularization we identify the trace anomaly, proving that it can be cast in a gauge invariant form, even in the presence of the non-abelian chiral anomaly, that we rederive to check the consistency of our methods. In particular, we find that the trace anomaly does not contain any parity-odd topological contribution, whose presence has been debated in the recent literature. |
| first_indexed | 2024-12-21T22:18:59Z |
| format | Article |
| id | doaj.art-dfacb16b12bc43a5be9a86b7c6472743 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T22:18:59Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-dfacb16b12bc43a5be9a86b7c64727432022-12-21T18:48:23ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191011610.1007/JHEP10(2019)241Weyl fermions in a non-abelian gauge background and trace anomaliesFiorenza Bastianelli0Matteo Broccoli1Dipartimemo di Fisica ed Astronomia, Umversità di Bologna and INFNMax-Planck-lnstitut für Gmvitationsphymk (Albert-Einstein-Institut)Abstract We study the trace and chiral anomalies of Weyl fermions in a non-abelian gauge background in four dimensions. Using a Pauli-Villars regularization we identify the trace anomaly, proving that it can be cast in a gauge invariant form, even in the presence of the non-abelian chiral anomaly, that we rederive to check the consistency of our methods. In particular, we find that the trace anomaly does not contain any parity-odd topological contribution, whose presence has been debated in the recent literature.http://link.springer.com/article/10.1007/JHEP10(2019)241Anomalies in Field and String TheoriesConformal Field Theory |
| spellingShingle | Fiorenza Bastianelli Matteo Broccoli Weyl fermions in a non-abelian gauge background and trace anomalies Journal of High Energy Physics Anomalies in Field and String Theories Conformal Field Theory |
| title | Weyl fermions in a non-abelian gauge background and trace anomalies |
| title_full | Weyl fermions in a non-abelian gauge background and trace anomalies |
| title_fullStr | Weyl fermions in a non-abelian gauge background and trace anomalies |
| title_full_unstemmed | Weyl fermions in a non-abelian gauge background and trace anomalies |
| title_short | Weyl fermions in a non-abelian gauge background and trace anomalies |
| title_sort | weyl fermions in a non abelian gauge background and trace anomalies |
| topic | Anomalies in Field and String Theories Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP10(2019)241 |
| work_keys_str_mv | AT fiorenzabastianelli weylfermionsinanonabeliangaugebackgroundandtraceanomalies AT matteobroccoli weylfermionsinanonabeliangaugebackgroundandtraceanomalies |