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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.20012 |
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| _version_ | 1866909724341960704 |
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| author | Azevedo, D. O. R. Del Cima, O. M. Lima, L. S. Miranda, E. S. |
| author_facet | Azevedo, D. O. R. Del Cima, O. M. Lima, L. S. Miranda, E. S. |
| contents | The renormalization of a parity-even massless $U(1)\times U(1)$ quantum electrodynamics in three space-time dimensions (QED$_3$) is studied by adopting the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization method. The presence of two massless fermions requires the Lowenstein-Zimmermann (LZ) subtraction scheme to renormalize the infrared divergences induced by the ultraviolet subtractions at 1- and 2-loops, moreover due to the model superrenormalizability the ultraviolet divergences are bounded up to 2-loops. Finally, through the BPHZL renormalization method together with the LZ subtraction scheme the ultraviolet and infrared finiteness of the model is proved up to 2-loops and beyond. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The BPHZL renormalization of a planar quantum electrodynamics up to 2-loops and beyond Azevedo, D. O. R. Del Cima, O. M. Lima, L. S. Miranda, E. S. High Energy Physics - Theory Mesoscale and Nanoscale Physics Materials Science The renormalization of a parity-even massless $U(1)\times U(1)$ quantum electrodynamics in three space-time dimensions (QED$_3$) is studied by adopting the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization method. The presence of two massless fermions requires the Lowenstein-Zimmermann (LZ) subtraction scheme to renormalize the infrared divergences induced by the ultraviolet subtractions at 1- and 2-loops, moreover due to the model superrenormalizability the ultraviolet divergences are bounded up to 2-loops. Finally, through the BPHZL renormalization method together with the LZ subtraction scheme the ultraviolet and infrared finiteness of the model is proved up to 2-loops and beyond. |
| title | The BPHZL renormalization of a planar quantum electrodynamics up to 2-loops and beyond |
| topic | High Energy Physics - Theory Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2503.20012 |