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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, Latex, uses espcrc2.sty

Scientific paper

10.1016/0920-5632(96)00311-8

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).

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