F4 symmetric φ3 theory at four loops

Gracey, JA ORCID: 0000-0002-9101-2853 (2017) F4 symmetric φ3 theory at four loops Physical Review D, 95 (6). 065030-. ISSN 2470-0010, 2470-0029

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Abstract

The renormalization group functions for six dimensional scalar φ3 theory with an F4 symmetry are provided at four loops in the modified minimal subtraction (MS) scheme. Aside from the anomalous dimension of φ and the β-function this includes the mass operator and a φ2-type operator. The anomalous dimension of the latter is computed explicitly at four loops for the 26 and 324 representations of F4. The ϵ expansion of all the related critical exponents are determined to O(ϵ4). For instance the value for Δφ agrees with recent conformal bootstrap estimates in 5 and 5.95 dimensions. The renormalization group functions are also provided at four loops for the group E6.

Item Type:	Article
Additional Information:	16 latex pages, anc directory contains txt file with electronic version of operator anomalous dimensions
Uncontrolled Keywords:	hep-th, hep-th
Depositing User:	Symplectic Admin
Date Deposited:	31 Mar 2017 08:02
Last Modified:	24 Jan 2026 01:07
DOI:	10.1103/PhysRevD.95.065030
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3006732
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