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...

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Veröffentlicht in:Nuclear physics. B 2015-11, Vol.900 (C), p.147-169
Hauptverfasser: Modesto, Leonardo, Rachwał, Lesław
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2015.09.006