# 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
• Citations
• ABNT:
BADEL, G. et al. Feynman diagrams and the large charge expansion in $3-\varepsilon$ dimensions. [s. l.], 2019. DOI 10.1016/j.physletb.2020.135202. Disponível em: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.08505&custid=s8280428. Acesso em: 20 jan. 2020.
• AMA:
Badel G, Cuomo G, Monin A, Rattazzi R. Feynman diagrams and the large charge expansion in $3-\varepsilon$ dimensions. 2019. doi:10.1016/j.physletb.2020.135202.
• APA:
Badel, G., Cuomo, G., Monin, A., & Rattazzi, R. (2019). Feynman diagrams and the large charge expansion in $3-\varepsilon$ dimensions. https://doi.org/10.1016/j.physletb.2020.135202
• Chicago/Turabian: Author-Date:
Badel, Gil, Gabriel Cuomo, Alexander Monin, and Riccardo Rattazzi. 2019. “Feynman Diagrams and the Large Charge Expansion in $3-\varepsilon$ Dimensions.” doi:10.1016/j.physletb.2020.135202.
• Harvard:
Badel, G. et al. (2019) ‘Feynman diagrams and the large charge expansion in $3-\varepsilon$ dimensions’. doi: 10.1016/j.physletb.2020.135202.
• Harvard: Australian:
Badel, G, Cuomo, G, Monin, A & Rattazzi, R 2019, ‘Feynman diagrams and the large charge expansion in $3-\varepsilon$ dimensions’, viewed 20 January 2020, .
• MLA:
Badel, Gil, et al. Feynman Diagrams and the Large Charge Expansion in $3-\varepsilon$ Dimensions. 2019. EBSCOhost, doi:10.1016/j.physletb.2020.135202.
• Chicago/Turabian: Humanities:
Badel, Gil, Gabriel Cuomo, Alexander Monin, and Riccardo Rattazzi. “Feynman Diagrams and the Large Charge Expansion in $3-\varepsilon$ Dimensions,” 2019. doi:10.1016/j.physletb.2020.135202.
• Vancouver/ICMJE:
Badel G, Cuomo G, Monin A, Rattazzi R. Feynman diagrams and the large charge expansion in $3-\varepsilon$ dimensions. 2019 [cited 2020 Jan 20]; Available from: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.08505&custid=s8280428