Super-renormalizable and finite gravitational theories
We hereby introduce and extensively study a class of non-polynomial higher derivative theories of gravity that realize a ultraviolet (UV) completion of Einstein general relativity. These theories are unitary (ghost free) and at most only one-loop divergences survive. The outcome is a class of theori...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2014-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321314003137 |
| _version_ | 1818015919372238848 |
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| author | Leonardo Modesto Lesław Rachwał |
| author_facet | Leonardo Modesto Lesław Rachwał |
| author_sort | Leonardo Modesto |
| collection | DOAJ |
| description | We hereby introduce and extensively study a class of non-polynomial higher derivative theories of gravity that realize a ultraviolet (UV) completion of Einstein general relativity. These theories are unitary (ghost free) and at most only one-loop divergences survive. The outcome is a class of theories super-renormalizable in even dimension and finite in odd dimension. Moreover, we explicitly prove in D=4 that there exists an extension of the theory that is completely finite and all the beta functions vanish even at one-loop. These results can be easily extended in extra dimensions and it is likely that the higher dimensional theory can be made finite, too. Therefore we have the possibility for “finite quantum gravity” in any dimension. |
| first_indexed | 2024-04-14T07:05:42Z |
| format | Article |
| id | doaj.art-538008c77e1049f2b8c73d7fa128ef4c |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-04-14T07:05:42Z |
| publishDate | 2014-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-538008c77e1049f2b8c73d7fa128ef4c2022-12-22T02:06:35ZengElsevierNuclear Physics B0550-32131873-15622014-12-01889C22824810.1016/j.nuclphysb.2014.10.015Super-renormalizable and finite gravitational theoriesLeonardo ModestoLesław RachwałWe hereby introduce and extensively study a class of non-polynomial higher derivative theories of gravity that realize a ultraviolet (UV) completion of Einstein general relativity. These theories are unitary (ghost free) and at most only one-loop divergences survive. The outcome is a class of theories super-renormalizable in even dimension and finite in odd dimension. Moreover, we explicitly prove in D=4 that there exists an extension of the theory that is completely finite and all the beta functions vanish even at one-loop. These results can be easily extended in extra dimensions and it is likely that the higher dimensional theory can be made finite, too. Therefore we have the possibility for “finite quantum gravity” in any dimension.http://www.sciencedirect.com/science/article/pii/S0550321314003137 |
| spellingShingle | Leonardo Modesto Lesław Rachwał Super-renormalizable and finite gravitational theories Nuclear Physics B |
| title | Super-renormalizable and finite gravitational theories |
| title_full | Super-renormalizable and finite gravitational theories |
| title_fullStr | Super-renormalizable and finite gravitational theories |
| title_full_unstemmed | Super-renormalizable and finite gravitational theories |
| title_short | Super-renormalizable and finite gravitational theories |
| title_sort | super renormalizable and finite gravitational theories |
| url | http://www.sciencedirect.com/science/article/pii/S0550321314003137 |
| work_keys_str_mv | AT leonardomodesto superrenormalizableandfinitegravitationaltheories AT lesławrachwał superrenormalizableandfinitegravitationaltheories |