Skeleton expansion and large spin bootstrap for ${\varphi }^3$ theory

Abstract

We study skeleton expansion of ${\varphi }^3$ theory in $6+\epsilon$ dimensions as well as its global symmetry generalizations. We use it to compute the four point function of the scalar field $\varphi$ up to ${\epsilon }^2$. We also do a large spin bootstrap approach to the same model up to order ${\epsilon }^2$ and check that both results agree.