Quantum equivalence of sigma models related by non-Abelian duality transformations
WoS ID: 000072613900039
Scopus ID: 0348234901
Coupling constant renormalization is investigated in two dimensional σ models related by non-Abelian duality transformations. In this respect it is shown that in the one loop order of perturbation theory the duals of a one parameter family of models, interpolating between the SU(2) principal model and the O(3) sigma model, exhibit the same behavior as the original models. For the O(3) model also the two loop equivalence is investigated, and is found to be broken just like in the already known example of the principal model.