Universally finite gravitational and gauge theories
It is well known that standard gauge theories are renormalizable in D=4 while Einstein gravity is renormalizable in D=2. This is where the research in the field of two derivatives theories is currently standing. We hereby present a class of weakly non-local higher derivative gravitational and gauge...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315003144 |
| _version_ | 1828750068864253952 |
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| author | Leonardo Modesto Lesław Rachwał |
| author_facet | Leonardo Modesto Lesław Rachwał |
| author_sort | Leonardo Modesto |
| collection | DOAJ |
| description | It is well known that standard gauge theories are renormalizable in D=4 while Einstein gravity is renormalizable in D=2. This is where the research in the field of two derivatives theories is currently standing. We hereby present a class of weakly non-local higher derivative gravitational and gauge theories universally consistent at quantum level in any spacetime dimension. These theories are unitary (ghost-free) and perturbatively renormalizable. Moreover, we can always find a simple extension of these theories that is super-renormalizable or finite at quantum level in even and odd spacetime dimensions. Finally, we propose a super-renormalizable or finite theory for gravity coupled to matter laying the groundwork for a “finite standard model of particle physics” and/or a grand unified theory of all fundamental interactions. |
| first_indexed | 2024-12-10T20:32:33Z |
| format | Article |
| id | doaj.art-8cc127c81a20480194bc6255ae86cd5b |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-10T20:32:33Z |
| publishDate | 2015-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-8cc127c81a20480194bc6255ae86cd5b2022-12-22T01:34:37ZengElsevierNuclear Physics B0550-32131873-15622015-11-01900C14716910.1016/j.nuclphysb.2015.09.006Universally finite gravitational and gauge theoriesLeonardo ModestoLesław RachwałIt is well known that standard gauge theories are renormalizable in D=4 while Einstein gravity is renormalizable in D=2. This is where the research in the field of two derivatives theories is currently standing. We hereby present a class of weakly non-local higher derivative gravitational and gauge theories universally consistent at quantum level in any spacetime dimension. These theories are unitary (ghost-free) and perturbatively renormalizable. Moreover, we can always find a simple extension of these theories that is super-renormalizable or finite at quantum level in even and odd spacetime dimensions. Finally, we propose a super-renormalizable or finite theory for gravity coupled to matter laying the groundwork for a “finite standard model of particle physics” and/or a grand unified theory of all fundamental interactions.http://www.sciencedirect.com/science/article/pii/S0550321315003144 |
| spellingShingle | Leonardo Modesto Lesław Rachwał Universally finite gravitational and gauge theories Nuclear Physics B |
| title | Universally finite gravitational and gauge theories |
| title_full | Universally finite gravitational and gauge theories |
| title_fullStr | Universally finite gravitational and gauge theories |
| title_full_unstemmed | Universally finite gravitational and gauge theories |
| title_short | Universally finite gravitational and gauge theories |
| title_sort | universally finite gravitational and gauge theories |
| url | http://www.sciencedirect.com/science/article/pii/S0550321315003144 |
| work_keys_str_mv | AT leonardomodesto universallyfinitegravitationalandgaugetheories AT lesławrachwał universallyfinitegravitationalandgaugetheories |