Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735835 | Journal of Geometry and Physics | 2005 | 15 Pages |
Abstract
We analyse the renormalisation properties of composite operators of scalar fields in the N=2 Super Yang-Mills theory. We compute the matrix of anomalous dimensions in the planar limit at one-loop order in the 't Hooft coupling, and show that it corresponds to the Hamiltonian of an integrable XXZ spin chain with an anisotropy parameter Î>1. We suggest that this parameter could be related to the presence of non-trivial two-form fluxes in the dual supergravity background. We find that the running of the gauge coupling does not affect the renormalisation group equations for these composite operators at one-loop order, and argue that this is a general property of gauge theories which is not related to supersymmetry.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Paolo Di Vecchia, Alessandro Tanzini,