<i>F</i><sub>4</sub> symmetric φ<SUP>3</SUP> theory at four loops

Gracey, JA ORCID: 0000-0002-9101-2853
(2017) <i>F</i><sub>4</sub> symmetric φ<SUP>3</SUP> theory at four loops. PHYSICAL REVIEW D, 95 (6). 065030-.

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The renormalization group functions for six dimensional scalar $\phi^3$ theory with an $F_4$ symmetry are provided at four loops in the modified minimal subtraction (MSbar) scheme. Aside from the anomalous dimension of $\phi$ and the $\beta$-function this includes the mass operator and a $\phi^2$-type operator. The anomalous dimension of the latter is computed explicitly at four loops for the $\mathbf{26}$ and $\mathbf{324}$ representations of $F_4$. The $\epsilon$ expansion of all the related critical exponents are determined to $O(\epsilon^4)$. For instance the value for $\Delta_\phi$ 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 $E_6$.

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: 15 Mar 2024 02:21
DOI: 10.1103/PhysRevD.95.065030
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3006732