Quantum corrections of Abelian Duality Transformations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex 11 pages; remarks on a free model and references added

Scientific paper

10.1016/0370-2693(96)01157-4

A modification of the Abelian Duality transformations is proposed guaranteeing that a (not necessarily conformally invariant) $\sigma$-model be quantum equivalent (at least up to two loops in perturbation theory) to its dual. This requires a somewhat non standard perturbative treatment of the {\sl dual} $\sigma$-model. Explicit formulae of the modified duality transformation are presented for a special class of block diagonal purely metric $\sigma$-models.

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