Strong-weak coupling duality in anisotropic current interactions

Details Strong-weak coupling duality in anisotropic current interactions Strong-weak coupling duality in anisotropic current interactions

2001-03-13

arxiv.org/abs/hep-th/0103096v2

Phys.Lett.B512:78-84,2001

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 color figure v2: additional check with both UV and IR fixed points included

Scientific paper

10.1016/S0370-2693(01)00695-5

The recently proposed all orders beta function is further investigated. By using a strong-weak coupling duality of the beta function, and some added topology of the space of couplings we are able to extend the flows to arbitrarily large or small scales. Using a non-trivial RG invariant we are able to identify sine-Gordon, sinh-Gordon and Kosterlitz-Thouless phases. We also find an additional phase with cyclic or roaming RG trajectories.

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