A nonlocal Schwinger model
Abstract We solve a system of massless fermions constrained to two space-time dimensions interacting via a d space-time dimensional Maxwell field. Through dimensional reduction to the defect and bosonization, the system maps to a massless scalar interacting with a nonlocal Maxwell field through a Fϕ...
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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)252 |
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| author | Ludo Fraser-Taliente Christopher P. Herzog Abhay Shrestha |
| author_facet | Ludo Fraser-Taliente Christopher P. Herzog Abhay Shrestha |
| author_sort | Ludo Fraser-Taliente |
| collection | DOAJ |
| description | Abstract We solve a system of massless fermions constrained to two space-time dimensions interacting via a d space-time dimensional Maxwell field. Through dimensional reduction to the defect and bosonization, the system maps to a massless scalar interacting with a nonlocal Maxwell field through a Fϕ-coupling. The d = 2 dimensional case is the usual Schwinger model where the photon gets a mass. More generally, in 2 < d < 4 dimensions, the degrees of freedom map to a scalar which undergoes a renormalization group flow; in the ultraviolet, the scalar is free, while in the infrared it has scaling dimension (4 – d)/2. The infrared is similar to the Wilson-Fisher fixed point, and the physically relevant case d = 4 becomes infrared trivial in the limit of infinite ultraviolet cut-off, consistent with earlier work on the triviality of conformal surface defects in Maxwell theory. |
| format | Article |
| id | doaj-art-9c5c0ebd3c064052bca0a98e5f715201 |
| 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-9c5c0ebd3c064052bca0a98e5f7152012025-08-20T03:45:39ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612810.1007/JHEP06(2025)252A nonlocal Schwinger modelLudo Fraser-Taliente0Christopher P. Herzog1Abhay Shrestha2Physics Department, Oxford UniversityDepartment of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonAbstract We solve a system of massless fermions constrained to two space-time dimensions interacting via a d space-time dimensional Maxwell field. Through dimensional reduction to the defect and bosonization, the system maps to a massless scalar interacting with a nonlocal Maxwell field through a Fϕ-coupling. The d = 2 dimensional case is the usual Schwinger model where the photon gets a mass. More generally, in 2 < d < 4 dimensions, the degrees of freedom map to a scalar which undergoes a renormalization group flow; in the ultraviolet, the scalar is free, while in the infrared it has scaling dimension (4 – d)/2. The infrared is similar to the Wilson-Fisher fixed point, and the physically relevant case d = 4 becomes infrared trivial in the limit of infinite ultraviolet cut-off, consistent with earlier work on the triviality of conformal surface defects in Maxwell theory.https://doi.org/10.1007/JHEP06(2025)252Renormalization and RegularizationRenormalization GroupNonperturbative EffectsWilson’t Hooft and Polyakov loops |
| spellingShingle | Ludo Fraser-Taliente Christopher P. Herzog Abhay Shrestha A nonlocal Schwinger model Journal of High Energy Physics Renormalization and Regularization Renormalization Group Nonperturbative Effects Wilson ’t Hooft and Polyakov loops |
| title | A nonlocal Schwinger model |
| title_full | A nonlocal Schwinger model |
| title_fullStr | A nonlocal Schwinger model |
| title_full_unstemmed | A nonlocal Schwinger model |
| title_short | A nonlocal Schwinger model |
| title_sort | nonlocal schwinger model |
| topic | Renormalization and Regularization Renormalization Group Nonperturbative Effects Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP06(2025)252 |
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