Relating electrodynamics and gravity in two Euclidean dimensions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915149745487872 |
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| author | Bittencourt, Thales F. Sobreiro, Rodrigo F. |
| author_facet | Bittencourt, Thales F. Sobreiro, Rodrigo F. |
| contents | Two-dimensional electrodynamics coupled to Dirac fermions is mapped onto two-dimensional gravity in the first-order formalism, also including fermions. However, the resulting fermion-gravity coupling deviates from the conventional form, explicitly violating parity and time-reversal symmetries. Additionally, these fermions exhibit an unconventional transformation behavior under $SO(2)$ transformations. Furthermore, we analyze the consistency of this mapping at the quantum level using the path integral formalism and Becchi-Rouet-Stora-Tyutin techniques. Our findings demonstrate that quantum electrodynamics and quantum gravity remain equivalent at the quantum level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09272 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relating electrodynamics and gravity in two Euclidean dimensions Bittencourt, Thales F. Sobreiro, Rodrigo F. High Energy Physics - Theory Two-dimensional electrodynamics coupled to Dirac fermions is mapped onto two-dimensional gravity in the first-order formalism, also including fermions. However, the resulting fermion-gravity coupling deviates from the conventional form, explicitly violating parity and time-reversal symmetries. Additionally, these fermions exhibit an unconventional transformation behavior under $SO(2)$ transformations. Furthermore, we analyze the consistency of this mapping at the quantum level using the path integral formalism and Becchi-Rouet-Stora-Tyutin techniques. Our findings demonstrate that quantum electrodynamics and quantum gravity remain equivalent at the quantum level. |
| title | Relating electrodynamics and gravity in two Euclidean dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.09272 |