Universally finite gravitational and gauge theories
Abstract
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.
- Publication:
-
Nuclear Physics B
- Pub Date:
- November 2015
- DOI:
- 10.1016/j.nuclphysb.2015.09.006
- arXiv:
- arXiv:1503.00261
- Bibcode:
- 2015NuPhB.900..147M
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology;
- Mathematical Physics
- E-Print:
- 19 pages