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

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• Author(s):
• Source:
Physics Letters B Volume 802, 10 March 2020, 135202
• Subject Terms:
• Document Type:
Working Paper
• Online Access:
• معلومة اضافية
• Publication Date:
2019
• Collection:
Condensed Matter
High Energy Physics - Phenomenology
High Energy Physics - Theory
• 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 $\lambda n$, 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.
Comment: 7 pages, v2 typos fixed, match journal version
• Accession Number:
10.1016/j.physletb.2020.135202
• Accession Number:
edsarx.1911.08505