Quantum equivalence of the Freedman-Townsend model and the principal chiral $\sigma$-model

Abstract

The Freedman-Townsend model is quantized using the Batalin-Vilkovisky approach to Lagrangian quantization of gauge theories with linearly dependent generators. Path integral arguments are then applied to demonstrate the quantum equivalence of the Freedman-Townsend model to the principal chiral $\sigma$-model.

arXiv comment8 pages. This work was accepted for publication in Sov. J. Nucl. Phys. in 1987. It was subsequently withdrawn shortly before publication, after the authors had been informed by a colleague that the same problem had already been solved elsewhere. Due to a limited access to the journals, at the time it was not possible to verify this information, which in fact turned out to be false