Fried-Yennie Gauge in Pseudo-QED
The Fried-Yennie gauge is a covariant gauge for which the mass-shell renormalization procedure can be performed without introducing spurious infrared divergences to the theory. It is usually applied in calculations in regular Quantum Electrodynamics (QED), but it is particularly interesting when emp...
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MDPI AG
2024-02-01
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| Online Access: | https://www.mdpi.com/1099-4300/26/2/157 |
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| author | Ana Mizher Alfredo Raya Khépani Raya |
| author_facet | Ana Mizher Alfredo Raya Khépani Raya |
| author_sort | Ana Mizher |
| collection | DOAJ |
| description | The Fried-Yennie gauge is a covariant gauge for which the mass-shell renormalization procedure can be performed without introducing spurious infrared divergences to the theory. It is usually applied in calculations in regular Quantum Electrodynamics (QED), but it is particularly interesting when employed in the framework of pseudo-QED (PQED), where fermions are constrained to 2 + 1 dimensions while the dynamical fields interacting with these fermions live in the bulk of a 3 + 1 space. In this context, the gauge parameter can be adjusted to match the power of the external momentum in the denominator of the photon propagator, simplifying the infrared region without the need for a photon mass. In this work, we apply this machinery, for the first time, to PQED, generalizing the procedure to calculate the self energy in arbitrary dimensions, allowing, of course, for different dimensionalities of fermions and gauge fields. |
| first_indexed | 2024-03-07T22:34:06Z |
| format | Article |
| id | doaj.art-f3abf14a19474f33b3ccba48b8474f7b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-07T22:34:06Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-f3abf14a19474f33b3ccba48b8474f7b2024-02-23T15:15:45ZengMDPI AGEntropy1099-43002024-02-0126215710.3390/e26020157Fried-Yennie Gauge in Pseudo-QEDAna Mizher0Alfredo Raya1Khépani Raya2Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bloco II, São Paulo 01140-070, BrazilCentro de Ciencias Exactas, Universidad del Bío-Bío, Casilla 447, Chillán 3800708, ChileDepartamento de Ciencias Integradas, Centro de Estudios Avanzados en Física, Matemática y Computacion, Facultad de Ciencias Experimentales, Universidad de Huelva, 21071 Huelva, SpainThe Fried-Yennie gauge is a covariant gauge for which the mass-shell renormalization procedure can be performed without introducing spurious infrared divergences to the theory. It is usually applied in calculations in regular Quantum Electrodynamics (QED), but it is particularly interesting when employed in the framework of pseudo-QED (PQED), where fermions are constrained to 2 + 1 dimensions while the dynamical fields interacting with these fermions live in the bulk of a 3 + 1 space. In this context, the gauge parameter can be adjusted to match the power of the external momentum in the denominator of the photon propagator, simplifying the infrared region without the need for a photon mass. In this work, we apply this machinery, for the first time, to PQED, generalizing the procedure to calculate the self energy in arbitrary dimensions, allowing, of course, for different dimensionalities of fermions and gauge fields.https://www.mdpi.com/1099-4300/26/2/157pseudo-QEDFried-Yennie gaugeinfrared behavior |
| spellingShingle | Ana Mizher Alfredo Raya Khépani Raya Fried-Yennie Gauge in Pseudo-QED Entropy pseudo-QED Fried-Yennie gauge infrared behavior |
| title | Fried-Yennie Gauge in Pseudo-QED |
| title_full | Fried-Yennie Gauge in Pseudo-QED |
| title_fullStr | Fried-Yennie Gauge in Pseudo-QED |
| title_full_unstemmed | Fried-Yennie Gauge in Pseudo-QED |
| title_short | Fried-Yennie Gauge in Pseudo-QED |
| title_sort | fried yennie gauge in pseudo qed |
| topic | pseudo-QED Fried-Yennie gauge infrared behavior |
| url | https://www.mdpi.com/1099-4300/26/2/157 |
| work_keys_str_mv | AT anamizher friedyenniegaugeinpseudoqed AT alfredoraya friedyenniegaugeinpseudoqed AT khepaniraya friedyenniegaugeinpseudoqed |