English

Perturbative Quantum (In)equivalence of Dual $\sigma$ Models in $2$ dimensions

High Energy Physics - Theory 2009-10-30 v1

Abstract

Various examples of target space duality transformations are investigated up to two loop order in perturbation theory. Our results show that when using the tree level (`naive') transformation rules the dual theories are in general {\it inequivalent} at two loops to the original ones, (both for the Abelian and the non Abelian duality).

Keywords

Cite

@article{arxiv.hep-th/9601091,
  title  = {Perturbative Quantum (In)equivalence of Dual $\sigma$ Models in $2$ dimensions},
  author = {J. Balog and P. Forgács and Z. Horváth and L. Palla},
  journal= {arXiv preprint arXiv:hep-th/9601091},
  year   = {2009}
}

Comments

11 pages, Latex, uses espcrc2.sty