Equivalence of first and second order formulations of the Einstein-Hilbert theory
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917195529846784 |
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| author | Brandt, F. T. Frenkel, J. Martins-Filho, S. McKeon, D. G. C. |
| author_facet | Brandt, F. T. Frenkel, J. Martins-Filho, S. McKeon, D. G. C. |
| contents | We derive a general relation between the background effective actions, which directly proves that the two formulations of the Einstein-Hilbert theory with background fields are equivalent at the quantum level. This basic result has been substantiated in a general background gauge, by explicit calculations at one-loop order of the corresponding counterterm Lagrangians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence of first and second order formulations of the Einstein-Hilbert theory Brandt, F. T. Frenkel, J. Martins-Filho, S. McKeon, D. G. C. High Energy Physics - Theory We derive a general relation between the background effective actions, which directly proves that the two formulations of the Einstein-Hilbert theory with background fields are equivalent at the quantum level. This basic result has been substantiated in a general background gauge, by explicit calculations at one-loop order of the corresponding counterterm Lagrangians. |
| title | Equivalence of first and second order formulations of the Einstein-Hilbert theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.17615 |