Models WD_{n} in the presence of disorder and the coupled models
Abstract
We have studied the conformal models WD _{n}^{(p)}, n=3,4,5,…, in the presence of disorder which couples to the energy operator of the model. In the limit of p≫1, where p is the corresponding minimal model index, the problem could be analyzed by means of the perturbative renormalization group, with ɛexpansion in ɛ=1/ p. We have found that the disorder makes to flow the model WD_{n}^{( p) } to the model WD_{n}^{( p1) } without disorder. In the related problem of N coupled regular WD_{n}^{( p) } models (no disorder), coupled by their energy operators, we find a flow to the fixed point of N decoupled WD_{n}^{( p1) }. But in addition we find in this case two new fixed points which could be reached by a fine tuning of the initial values of the couplings. The corresponding critical theories realize the permutational symmetry in a nontrivial way, like this is known to be the case for coupled Potts models, and they could not be identified with the presently known conformal models.
 Publication:

Nuclear Physics B
 Pub Date:
 October 2001
 DOI:
 10.1016/S05503213(01)003923
 arXiv:
 arXiv:hepth/0104197
 Bibcode:
 2001NuPhB.613..445D
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Disordered Systems and Neural Networks
 EPrint:
 35 pages, latex, 3 eps figures