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"Integrability" of RG flows and duality in three dimensions in the 1/N expansion

D. Anselmi
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Abstract

I study some classes of RG flows in three dimensions that are classically conformal and have manifest g -> 1/g dualities. The RG flow interpolates between known (four-fermion, Wilson-Fischer, phi_3^6) and new interacting fixed points. These models have two remarkable properties: i) the RG flow can be integrated for arbitrarily large values of the couplings g at each order of the 1/N expansion; ii) the duality symmetries are exact at each order of the 1/N expansion. I integrate the RG flow explicitly to the order O(1/N), write correlators at the leading-log level and study the interpolation between the fixed points. I examine how duality is implemented in the regularized theory and verified in the results of this paper.

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D. Anselmi. 2002-10-13. "Integrability" of RG flows and duality in three dimensions in the 1/N expansion. https://doi.org/10.1016/s0550-3213(03)00174-3

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