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arXiv · 2007.07190

Anomalous dimensions for $\phi^n$ in scale invariant $d=3$ 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 scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading $n$. Here we extend this verification to six loops, once again at leading and subleading $n$. We then perform a similar exercise for a theory with a multiplet of real scalars and an $O(N)$ invariant hexic interaction. We also investigate the strong-coupling regime for this example.

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I. Jack, D. R. T. Jones. 2020-07-14. Anomalous dimensions for $\phi^n$ in scale invariant $d=3$ theory. https://doi.org/10.1103/physrevd.102.085012

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