On the Equivalence of Dual Theories

Details On the Equivalence of Dual Theories On the Equivalence of Dual Theories

1995-06-20

arxiv.org/abs/hep-th/9506132v1

Int.J.Mod.Phys.A11:1315-1328,1996; ERRATUM-ibid.A11:2231,1996

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX; 2 figures, encapsulated PostScript

Scientific paper

10.1142/S0217751X96000596

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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