Time-reversal anomalies of QCD3 and QED3
Abstract Anomalies of global symmetry provide powerful tool to constrain the dynamics of quantum systems, such as anomaly matching in the renormalization group flow and obstruction to symmetric mass generation. In this note we compute the anomalies in 2+1d time-reversal symmetric gauge theories with...
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2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)098 |
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| _version_ | 1846137402752499712 |
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| author | Po-Shen Hsin |
| author_facet | Po-Shen Hsin |
| author_sort | Po-Shen Hsin |
| collection | DOAJ |
| description | Abstract Anomalies of global symmetry provide powerful tool to constrain the dynamics of quantum systems, such as anomaly matching in the renormalization group flow and obstruction to symmetric mass generation. In this note we compute the anomalies in 2+1d time-reversal symmetric gauge theories with massless fermions in the fundamental and rank-two tensor representations, where the gauge groups are SU(N), SO(N), Sp(N), U(1). The fermion parity is part of the gauge group and the theories are bosonic. The time-reversal symmetry satisfies T 2 = 1 or T 2 = M $$ \mathcal{M} $$ where M $$ \mathcal{M} $$ is an internal magnetic symmetry. We show that some of the bosonic gauge theories have time-reversal anomaly with c − ≠ 0 mod 8 that is absent in fermionic systems. The anomalies of the gauge theories can be nontrivial even when the number of Majorana fermions is a multiple of 16 and ν = 0. |
| format | Article |
| id | doaj-art-88557badf01241efba98dbb72e31e88f |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-88557badf01241efba98dbb72e31e88f2024-12-08T12:13:21ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241012410.1007/JHEP10(2024)098Time-reversal anomalies of QCD3 and QED3Po-Shen Hsin0Mani L. Bhaumik Institute for Theoretical PhysicsAbstract Anomalies of global symmetry provide powerful tool to constrain the dynamics of quantum systems, such as anomaly matching in the renormalization group flow and obstruction to symmetric mass generation. In this note we compute the anomalies in 2+1d time-reversal symmetric gauge theories with massless fermions in the fundamental and rank-two tensor representations, where the gauge groups are SU(N), SO(N), Sp(N), U(1). The fermion parity is part of the gauge group and the theories are bosonic. The time-reversal symmetry satisfies T 2 = 1 or T 2 = M $$ \mathcal{M} $$ where M $$ \mathcal{M} $$ is an internal magnetic symmetry. We show that some of the bosonic gauge theories have time-reversal anomaly with c − ≠ 0 mod 8 that is absent in fermionic systems. The anomalies of the gauge theories can be nontrivial even when the number of Majorana fermions is a multiple of 16 and ν = 0.https://doi.org/10.1007/JHEP10(2024)098Anomalies in Field and String TheoriesField Theories in Lower DimensionsGlobal SymmetriesSpace-Time Symmetries |
| spellingShingle | Po-Shen Hsin Time-reversal anomalies of QCD3 and QED3 Journal of High Energy Physics Anomalies in Field and String Theories Field Theories in Lower Dimensions Global Symmetries Space-Time Symmetries |
| title | Time-reversal anomalies of QCD3 and QED3 |
| title_full | Time-reversal anomalies of QCD3 and QED3 |
| title_fullStr | Time-reversal anomalies of QCD3 and QED3 |
| title_full_unstemmed | Time-reversal anomalies of QCD3 and QED3 |
| title_short | Time-reversal anomalies of QCD3 and QED3 |
| title_sort | time reversal anomalies of qcd3 and qed3 |
| topic | Anomalies in Field and String Theories Field Theories in Lower Dimensions Global Symmetries Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP10(2024)098 |
| work_keys_str_mv | AT poshenhsin timereversalanomaliesofqcd3andqed3 |