Feynman diagrams and the large charge expansion in 3 − ε dimensions

Feynman diagrams and the large charge expansion in 3 − ε dimensions

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−ε can be computed semiclassically for arbitrary values of λn, where λ is the perturbatively small fixed point coupling. Here we generalize this resu...

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Main Authors: Gil Badel, Gabriel Cuomo, Alexander Monin, Riccardo Rattazzi
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026932030006X
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spelling doaj-2bf4ce6d9b4d440b8afadc8da44fedb12020-11-25T01:25:40ZengElsevierPhysics Letters B0370-26932020-03-01802Feynman diagrams and the large charge expansion in 3 − ε dimensionsGil Badel0Gabriel Cuomo1Alexander Monin2Riccardo Rattazzi3Theoretical Particle Physics Laboratory (LPTP), Institute of Physics, EPFL, Lausanne, Switzerland; Corresponding authors.Theoretical Particle Physics Laboratory (LPTP), Institute of Physics, EPFL, Lausanne, Switzerland; Corresponding authors.Theoretical Particle Physics Laboratory (LPTP), Institute of Physics, EPFL, Lausanne, Switzerland; Department of Theoretical Physics, University of Geneva, 24 quai Ernest-Ansermet, 1211 Geneva, Switzerland; Corresponding authors.Theoretical Particle Physics Laboratory (LPTP), Institute of Physics, EPFL, Lausanne, Switzerland; Corresponding authors.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−ε can be computed semiclassically for arbitrary values of λn, where λ is the perturbatively small fixed point coupling. Here we generalize this result to the fixed point of the U(1) model in 3−ε 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(n0) contribution to the scaling dimension of large charge operators in 3D CFTs.http://www.sciencedirect.com/science/article/pii/S037026932030006X
collection DOAJ
language English
format Article
sources DOAJ
author Gil Badel
Gabriel Cuomo
Alexander Monin
Riccardo Rattazzi
spellingShingle Gil Badel
Gabriel Cuomo
Alexander Monin
Riccardo Rattazzi
Feynman diagrams and the large charge expansion in 3 − ε dimensions
Physics Letters B
author_facet Gil Badel
Gabriel Cuomo
Alexander Monin
Riccardo Rattazzi
author_sort Gil Badel
title Feynman diagrams and the large charge expansion in 3 − ε dimensions
title_short Feynman diagrams and the large charge expansion in 3 − ε dimensions
title_full Feynman diagrams and the large charge expansion in 3 − ε dimensions
title_fullStr Feynman diagrams and the large charge expansion in 3 − ε dimensions
title_full_unstemmed Feynman diagrams and the large charge expansion in 3 − ε dimensions
title_sort feynman diagrams and the large charge expansion in 3 − ε dimensions
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-03-01
description 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−ε can be computed semiclassically for arbitrary values of λn, where λ is the perturbatively small fixed point coupling. Here we generalize this result to the fixed point of the U(1) model in 3−ε 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(n0) contribution to the scaling dimension of large charge operators in 3D CFTs.
url http://www.sciencedirect.com/science/article/pii/S037026932030006X
work_keys_str_mv AT gilbadel feynmandiagramsandthelargechargeexpansionin3edimensions
AT gabrielcuomo feynmandiagramsandthelargechargeexpansionin3edimensions
AT alexandermonin feynmandiagramsandthelargechargeexpansionin3edimensions
AT riccardorattazzi feynmandiagramsandthelargechargeexpansionin3edimensions
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