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arXiv · 2101.09820

Anomalous dimensions at large charge in d=4 O(N) theory

I. Jack·D. R. T Jones
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Abstract

Recently it was shown that the scaling dimension of the operator $\phi^n$ in $\lambda(\phi^*\phi)^2$ theory may be computed semi-classically at the Wilson-Fisher fixed point in $d=4-\epsilon$, for generic values of $\lambda n$ 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.

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I. Jack, D. R. T Jones. 2021-01-24. Anomalous dimensions at large charge in d=4 O(N) theory. https://doi.org/10.1103/physrevd.103.085013

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