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In 2+1 dimensions, QED becomes exactly solvable for all values of the fermion charge $e$ in the limit of many fermions $N_f\gg 1$.
1901
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Andrey Grozin, “Lectures on QED and QCD,” in 3rd Dubna International Advanced School of Theoretical Physics Dubna, Russia, January 29-February 6, 2005 (2005) pp. 1–156, arXiv:hep-ph/0508242 [hep-ph]
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G. Policastro, Dan T. Son, and Andrei O. Starinets, “The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma,” Phys. Rev. Lett. 87
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P. Romatschke, “Numerical codes for QED in 2+1 dimensions,” https://github.com/paro8929/QED (2019d)
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Andreas Karch and David Tong, “Particle-Vortex Duality from 3d Bosonization,” Phys. Rev. X6
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Mikko Laine and Aleksi Vuorinen, “Basics of Thermal Field Theory,” Lect. Notes Phys. 925
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Andreas Karch, Brandon Robinson, and David Tong, “More Abelian Dualities in 2+1 Dimensions,” JHEP 01
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