Dynamical Abelianization and anomalies in chiral gauge theories
Abstract We explore the idea that in some class of strongly-coupled chiral SU(N) gauge theories the infrared dynamics might be characterized by a bifermion condensate in the ad- joint representation of the color gauge group. As an illustration, in this work we revisit an SU(N) chiral gauge theory wi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2022)110 |
| _version_ | 1797860117321875456 |
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| author | Stefano Bolognesi Kenichi Konishi Andrea Luzio |
| author_facet | Stefano Bolognesi Kenichi Konishi Andrea Luzio |
| author_sort | Stefano Bolognesi |
| collection | DOAJ |
| description | Abstract We explore the idea that in some class of strongly-coupled chiral SU(N) gauge theories the infrared dynamics might be characterized by a bifermion condensate in the ad- joint representation of the color gauge group. As an illustration, in this work we revisit an SU(N) chiral gauge theory with Weyl fermions in a symmetric (ψ) and anti-antisymmetric (χ) tensor representations, together with eight fermions in the anti-fundamental representations (η), which we called ψχη model in the previous investigations. We study the infrared dynamics of this system more carefully, by assuming dynamical Abelianization, a phenomenon familiar from 𝒩 = 2 supersymmetric gauge theories, and by analyzing the way various continuous and discrete symmetries are realized at low energies. We submit then these ideas to a more stringent test, by taking into account some higher-form symmetries and the consequent mixed anomalies. A detailed analysis of the mixed anomalies involving certain 0-form U(1) symmetries and the color-flavor locked 1-form ℤ N symmetry in the ψχη system shows that the proposed infrared dynamics is consistent with it. |
| first_indexed | 2024-04-09T21:40:38Z |
| format | Article |
| id | doaj.art-d74dc4cd6dfb45858f672c63ac9d7dd4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T21:40:38Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d74dc4cd6dfb45858f672c63ac9d7dd42023-03-26T11:03:50ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221212510.1007/JHEP12(2022)110Dynamical Abelianization and anomalies in chiral gauge theoriesStefano Bolognesi0Kenichi Konishi1Andrea Luzio2Department of Physics “E. Fermi”, University of PisaDepartment of Physics “E. Fermi”, University of PisaINFN, Sezione di PisaAbstract We explore the idea that in some class of strongly-coupled chiral SU(N) gauge theories the infrared dynamics might be characterized by a bifermion condensate in the ad- joint representation of the color gauge group. As an illustration, in this work we revisit an SU(N) chiral gauge theory with Weyl fermions in a symmetric (ψ) and anti-antisymmetric (χ) tensor representations, together with eight fermions in the anti-fundamental representations (η), which we called ψχη model in the previous investigations. We study the infrared dynamics of this system more carefully, by assuming dynamical Abelianization, a phenomenon familiar from 𝒩 = 2 supersymmetric gauge theories, and by analyzing the way various continuous and discrete symmetries are realized at low energies. We submit then these ideas to a more stringent test, by taking into account some higher-form symmetries and the consequent mixed anomalies. A detailed analysis of the mixed anomalies involving certain 0-form U(1) symmetries and the color-flavor locked 1-form ℤ N symmetry in the ψχη system shows that the proposed infrared dynamics is consistent with it.https://doi.org/10.1007/JHEP12(2022)110Nonperturbative EffectsAnomalies in Field and String TheoriesEffective Field Theories |
| spellingShingle | Stefano Bolognesi Kenichi Konishi Andrea Luzio Dynamical Abelianization and anomalies in chiral gauge theories Journal of High Energy Physics Nonperturbative Effects Anomalies in Field and String Theories Effective Field Theories |
| title | Dynamical Abelianization and anomalies in chiral gauge theories |
| title_full | Dynamical Abelianization and anomalies in chiral gauge theories |
| title_fullStr | Dynamical Abelianization and anomalies in chiral gauge theories |
| title_full_unstemmed | Dynamical Abelianization and anomalies in chiral gauge theories |
| title_short | Dynamical Abelianization and anomalies in chiral gauge theories |
| title_sort | dynamical abelianization and anomalies in chiral gauge theories |
| topic | Nonperturbative Effects Anomalies in Field and String Theories Effective Field Theories |
| url | https://doi.org/10.1007/JHEP12(2022)110 |
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