arXiv · hep-th/9506132
On the Equivalence of Dual Theories
Abstract
We discuss the equivalence of two dual scalar field theories in 2 dimensions. The models are derived though the elimination of different fields in the same Freedman--Townsend model. It is shown that tree $S$-matrices of these models do not coincide. The 2-loop counterterms are calculated. It turns out that while one of these models is single-charged, the other theory is multi-charged. Thus the dual models considered are non-equivalent on classical and quantum levels. It indicates the possibility of the anomaly leading to non-equivalence of dual models.
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A. Subbotin, I. V. Tyutin. 1995-06-20. On the Equivalence of Dual Theories. https://doi.org/10.1142/s0217751x96000596
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