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Sextic tensor model in rank 3 at next-to-leading order

Sextic tensor model in rank 3 at next-to-leading order

We compute the four-loop beta functions of short and long-range multi scalar models with general sextic interactions and complex fields. We then specialize the beta functions to a $U(N)^3$ symmetry and study the renormalization group at next-to-leading order in $N$ and small $\epsilon$. In the short-range case, $\epsilon$ is the …