Feynman diagrams and the large charge expansion in \(3 - \varepsilon\) dimensions

DOI10.1016/J.PHYSLETB.2020.135202zbMATH Open1435.81138arXiv1911.08505OpenAlexW2990257559MaRDI QIDQ2188710

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Publication date: 11 June 2020

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Abstract: In arXiv:1909.01269 it was shown that the scaling dimension of the lightest charge $n$ operator in the $U(1)$ model at the Wilson-Fisher fixed point in $d=4-varepsilon$ can be computed semiclassically for arbitrary values of $lambdan$, where $lambda$ is the perturbatively small fixed point coupling. Here we generalize this result to the fixed point of the $U(1)$ model in $3-varepsilon$ dimensions. The result interpolates continuously between diagrammatic calculations and the universal conformal superfluid regime for CFTs at large charge. In particular it reproduces the expectedly universal $O(n^0)$ contribution to the scaling dimension of large charge operators in $3d$ CFTs.

Full work available at URL: https://arxiv.org/abs/1911.08505

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