Gracey, JA 
ORCID: 0000-0002-9101-2853
(2020)
Asymptotic freedom from the two-loop term of the beta function in a cubic theory.
PHYSICAL REVIEW D, 101 (12).
125022-.
|
Text
phi3bi.pdf - Author Accepted Manuscript Download (260kB) | Preview |
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: | 18 Jan 2023 23:49 |
| DOI: | 10.1103/PhysRevD.101.125022 |
| Open Access URL: | https://journals.aps.org/prd/abstract/10.1103/Phys... |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3090296 |
Dimensions
Dimensions
