Anomalous dimensions at large charge in d=4 O(N) theory
Recently it was shown that the scaling dimension of the operator $ϕ^n$ in $λ(ϕ^*ϕ)^2$ theory may be computed semi-classically at the Wilson-Fisher fixed point in $d=4-ε$, for generic values of $λn$ and this was verified to two loop order in perturbation theory at leading and sub-leading $n$. In subsequent work, this result was generalised to operators of fixed charge $Q$ in $O(N)$ theory and verified up to three loops in perturbation theory at leading and sub-leading order. Here we extend this verification to four loops in $O(N)$ theory, once again at leading and sub-leading order. We also investigate the strong-coupling regime.
hep-th↗