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-.
ISSN 2470-0010, 2470-0029
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Abstract
We renormalize a six-dimensional cubic theory to four loops in the modified minimal subtraction (MS¯) 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 β function the two-loop coefficient is negative. It therefore represents an example where asymptotic freedom is determined by the two-loop term of the β 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: | 24 Jan 2026 02:34 |
| DOI: | 10.1103/PhysRevD.101.125022 |
| Open Access URL: | https://journals.aps.org/prd/abstract/10.1103/Phys... |
| Related Websites: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3090296 |
| Disclaimer: | The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate. |
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