On ${\varphi }^3$ Theory Above Six Dimensions

Junchen Rong, Jierong Zhu

We study the scalar ${\varphi }^3$ theory above six dimensions. The beta function $\beta (g)=-\epsilon g-\frac{3}{4}{g}^3$ in $d=6-2\epsilon$ dimensions has a UV fixed point when $\epsilon <0$. Like the $O(N)$ vector mo…