On the seven-loop renormalization of Gross-Neveu model
Abstract The presence of an infinite number of marginal four-fermion operators is a key characteristic of the two-dimensional Gross-Neveu model. In this study, we investigate the structure of UV divergences in this model, and by symmetry argument we found that the renormalizability only requires a s...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)134 |
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| _version_ | 1849388229253398528 |
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| author | Rijun Huang Qingjun Jin Yi Li |
| author_facet | Rijun Huang Qingjun Jin Yi Li |
| author_sort | Rijun Huang |
| collection | DOAJ |
| description | Abstract The presence of an infinite number of marginal four-fermion operators is a key characteristic of the two-dimensional Gross-Neveu model. In this study, we investigate the structure of UV divergences in this model, and by symmetry argument we found that the renormalizability only requires a subset of evanescent operators. We perform a 7-loop renormalization computation of beta function for the corresponding evanescent operator, and confirm its non-trivial contribution to UV divergences. By integrating infrared rearrangement, dimensional shifting, and large momentum expansion techniques, we systematically reduce the two-dimensional tensor integrals in the four-fermion correlation functions into four-dimensional scalar integrals. These scalar integrals are subsequently evaluated using the graphical function method, which marks the first application of the method to models with fermionic fields. Our result represents the first time that beta functions have been computed analytically beyond 5-loop in a model with spinning particles. |
| format | Article |
| id | doaj-art-8b24d992a2b0420e856dcc6231f9498e |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8b24d992a2b0420e856dcc6231f9498e2025-08-20T03:42:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612510.1007/JHEP06(2025)134On the seven-loop renormalization of Gross-Neveu modelRijun Huang0Qingjun Jin1Yi Li2Nanjing Key Laboratory of Particle Physics and Astrophysics, School of Physics and Technology, Nanjing Normal UniversityGraduate School of China Academy of Engineering PhysicsGraduate School of China Academy of Engineering PhysicsAbstract The presence of an infinite number of marginal four-fermion operators is a key characteristic of the two-dimensional Gross-Neveu model. In this study, we investigate the structure of UV divergences in this model, and by symmetry argument we found that the renormalizability only requires a subset of evanescent operators. We perform a 7-loop renormalization computation of beta function for the corresponding evanescent operator, and confirm its non-trivial contribution to UV divergences. By integrating infrared rearrangement, dimensional shifting, and large momentum expansion techniques, we systematically reduce the two-dimensional tensor integrals in the four-fermion correlation functions into four-dimensional scalar integrals. These scalar integrals are subsequently evaluated using the graphical function method, which marks the first application of the method to models with fermionic fields. Our result represents the first time that beta functions have been computed analytically beyond 5-loop in a model with spinning particles.https://doi.org/10.1007/JHEP06(2025)134Renormalization and RegularizationRenormalization GroupScattering Amplitudes |
| spellingShingle | Rijun Huang Qingjun Jin Yi Li On the seven-loop renormalization of Gross-Neveu model Journal of High Energy Physics Renormalization and Regularization Renormalization Group Scattering Amplitudes |
| title | On the seven-loop renormalization of Gross-Neveu model |
| title_full | On the seven-loop renormalization of Gross-Neveu model |
| title_fullStr | On the seven-loop renormalization of Gross-Neveu model |
| title_full_unstemmed | On the seven-loop renormalization of Gross-Neveu model |
| title_short | On the seven-loop renormalization of Gross-Neveu model |
| title_sort | on the seven loop renormalization of gross neveu model |
| topic | Renormalization and Regularization Renormalization Group Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP06(2025)134 |
| work_keys_str_mv | AT rijunhuang onthesevenlooprenormalizationofgrossneveumodel AT qingjunjin onthesevenlooprenormalizationofgrossneveumodel AT yili onthesevenlooprenormalizationofgrossneveumodel |