1996
DOI: 10.1016/0920-5632(96)00311-8
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Perturbative quantum (in)equivalence of dual σ models in 2 dimensions

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 inequivalent at two loops to the original ones, (both for the Abelian and the non Abelian duality).

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Cited by 29 publications
(73 citation statements)
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“…Then, as first proven in [13,14], we have checked that : In a purely dimensional scheme (even with non minimal subtractions), the dualised SU(2) σ model is not renormalisable at the two-loop order.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Then, as first proven in [13,14], we have checked that : In a purely dimensional scheme (even with non minimal subtractions), the dualised SU(2) σ model is not renormalisable at the two-loop order.…”
Section: Resultsmentioning
confidence: 99%
“…In the same work, the twoloop renormalisability problem was tackled and the need for extra (non-minimal) one-loop order finite counter-terms was emphasized. Some years ago, it was noted that in the minimal dimensional scheme, two-loop renormalisability does not hold for the SU(2) T-dualised model [13,14] .…”
Section: Introductionmentioning
confidence: 99%
“…(6) is not conformal for generic values of the parameters h andh; this is why it makes sense to study its behaviour under the rg flow. Following a dimensionalregularization scheme (see [17,18,2] and for various applications [19,20,21,22]) we consider the action…”
Section: The Renormalization Group Flowmentioning
confidence: 99%
“…The desire to give an independant derivation of this functional relation by a less formal approach has motivated our previous paper [9]. Our strategy has been inspired firstly, by the reduction of the string effective action in the presence of isometries [15,16,17] and secondly by interesting investigations regarding T-duality beyond the one loop level [18,19]. Our central tool in showing the equivalence of the two string effective actions corresponding to the original sigma model and to its dual under non-Abelian duality, has been the use of Kaluza-Klein decomposition of the different string backgrounds.…”
Section: Introductionmentioning
confidence: 99%