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. (C) 2003 Elsevier Science B.V. All rights reserved.
"Integrability" of RG flows and duality in three dimensions in the 1/N expansion
ANSELMI, DAMIANO
2003-01-01
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. (C) 2003 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
