Can I read $F_4$ symmetric $\phi^3$ theory at four loops on EtoBox?

$F_4$ symmetric $\phi^3$ theory at four loops by Gracey, J. A. is a scholarly article available to read on EtoBox.

What is $F_4$ symmetric $\phi^3$ theory at four loops about?

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 $E_6$.

Author

Gracey, J. A.

Published

2017

Language

EN