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

被引:6
作者
Anselmi, D [1 ]
机构
[1] Univ Pisa, Dipartimento Fis E Fermi, I-56100 Pisa, Italy
关键词
D O I
10.1016/S0550-3213(03)00174-3
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
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页码:440 / 460
页数:21
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