Anomalies and persistent order in the chiral Gross-Neveu model
Abstract We study the 2d chiral Gross-Neveu model at finite temperature T and chemical potential μ. The analysis is performed by relating the theory to a SU(N) × U(1) Wess-Zumino-Witten model with appropriate levels and global identifications necessary to keep track of the fermion spin structures. A...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)211 |
| _version_ | 1827214397275111424 |
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| author | Riccardo Ciccone Lorenzo Di Pietro Marco Serone |
| author_facet | Riccardo Ciccone Lorenzo Di Pietro Marco Serone |
| author_sort | Riccardo Ciccone |
| collection | DOAJ |
| description | Abstract We study the 2d chiral Gross-Neveu model at finite temperature T and chemical potential μ. The analysis is performed by relating the theory to a SU(N) × U(1) Wess-Zumino-Witten model with appropriate levels and global identifications necessary to keep track of the fermion spin structures. At μ = 0 we show that a certain ℤ2-valued ’t Hooft anomaly forbids the system to be trivially gapped when fermions are periodic along the thermal circle for any N and any T > 0. We also study the two-point function of a certain composite fermion operator which allows us to determine the remnants for T > 0 of the inhomogeneous chiral phase configuration found at T = 0 for any N and any μ. The inhomogeneous configuration decays exponentially at large distances for anti-periodic fermions while it persists for T > 0 and any μ for periodic fermions, as expected from anomaly considerations. A large N analysis confirms the above findings. |
| first_indexed | 2024-03-07T15:23:13Z |
| format | Article |
| id | doaj.art-bb72a5bad1564da59509ab7482c2d166 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T14:30:41Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bb72a5bad1564da59509ab7482c2d1662024-06-23T11:09:24ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024215010.1007/JHEP02(2024)211Anomalies and persistent order in the chiral Gross-Neveu modelRiccardo Ciccone0Lorenzo Di Pietro1Marco Serone2Scuola Internazionale Superiore di Studi Avanzati (SISSA)Dipartimento di Fisica, Università di TriesteScuola Internazionale Superiore di Studi Avanzati (SISSA)Abstract We study the 2d chiral Gross-Neveu model at finite temperature T and chemical potential μ. The analysis is performed by relating the theory to a SU(N) × U(1) Wess-Zumino-Witten model with appropriate levels and global identifications necessary to keep track of the fermion spin structures. At μ = 0 we show that a certain ℤ2-valued ’t Hooft anomaly forbids the system to be trivially gapped when fermions are periodic along the thermal circle for any N and any T > 0. We also study the two-point function of a certain composite fermion operator which allows us to determine the remnants for T > 0 of the inhomogeneous chiral phase configuration found at T = 0 for any N and any μ. The inhomogeneous configuration decays exponentially at large distances for anti-periodic fermions while it persists for T > 0 and any μ for periodic fermions, as expected from anomaly considerations. A large N analysis confirms the above findings.https://doi.org/10.1007/JHEP02(2024)211Discrete SymmetriesField Theories in Lower DimensionsAnomalies in Field and String Theories |
| spellingShingle | Riccardo Ciccone Lorenzo Di Pietro Marco Serone Anomalies and persistent order in the chiral Gross-Neveu model Journal of High Energy Physics Discrete Symmetries Field Theories in Lower Dimensions Anomalies in Field and String Theories |
| title | Anomalies and persistent order in the chiral Gross-Neveu model |
| title_full | Anomalies and persistent order in the chiral Gross-Neveu model |
| title_fullStr | Anomalies and persistent order in the chiral Gross-Neveu model |
| title_full_unstemmed | Anomalies and persistent order in the chiral Gross-Neveu model |
| title_short | Anomalies and persistent order in the chiral Gross-Neveu model |
| title_sort | anomalies and persistent order in the chiral gross neveu model |
| topic | Discrete Symmetries Field Theories in Lower Dimensions Anomalies in Field and String Theories |
| url | https://doi.org/10.1007/JHEP02(2024)211 |
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