Gracey, John, Ryttov, TA and Shrock, R
(2020)
Renormalization-group behavior of ϕ3 theories in d=6 dimensions.
Physical Review D: Particles, Fields, Gravitation and Cosmology, 102 (4).
pp. 1-9.
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Abstract
We investigate possible renormalization-group fixed points at nonzero coupling in $\phi^3$ theories in six spacetime dimensions, using beta functions calculated to the four-loop level. We analyze three theories of this type, with (a) a one-component scalar, (b) a scalar transforming as the fundamental representation of a global ${\rm SU}(N)$ symmetry group, and (c) a scalar transforming as a bi-adjoint representation of a global ${\rm SU}(N) \otimes {\rm SU}(N)$ symmetry. We do not find robust evidence for such fixed points in theories (a) or (b). Theory (c) has the special feature that the one-loop term in the beta function is zero; implications of this are discussed.
| Item Type: | Article |
|---|---|
| Additional Information: | 9 pages |
| Uncontrolled Keywords: | hep-th, hep-th |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 04 Aug 2020 09:37 |
| Last Modified: | 15 Mar 2024 02:20 |
| DOI: | 10.1103/PhysRevD.102.045016 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3096010 |
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