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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2025)252 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |