Asymptotic freedom from the two-loop term of the β function in a cubic theory



Gracey, JA ORCID: 0000-0002-9101-2853
(2020) Asymptotic freedom from the two-loop term of the β function in a cubic theory. PHYSICAL REVIEW D, 101 (12). 125022-.

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Abstract

We renormalize a six dimensional cubic theory to four loops in the MSbar scheme where the scalar is in a bi-adjoint representation. The underlying model was originally derived in a problem relating to gravity being a double copy of Yang-Mills theory. As a field theory in its own right we find that it has a curious property in that while unexpectedly there is no one loop contribution to the $\beta$-function the two loop coefficient is negative. It therefore represents an example where asymptotic freedom is determined by the two loop term of the $\beta$-function. We also examine a multi-adjoint cubic theory in order to see whether this is a more universal property of these models.

Item Type: Article
Additional Information: 17 latex pages
Uncontrolled Keywords: hep-th, hep-th
Depositing User: Symplectic Admin
Date Deposited: 06 Jul 2020 13:48
Last Modified: 14 Oct 2023 16:32
DOI: 10.1103/PhysRevD.101.125022
Open Access URL: https://journals.aps.org/prd/abstract/10.1103/Phys...
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3090296