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

TL;DR

This paper demonstrates the quantum equivalence between the Freedman-Townsend model and the principal chiral sigma-model using the Batalin-Vilkovisky quantization and path integral methods.

Contribution

It establishes the quantum equivalence of two gauge theories through a rigorous quantization and path integral analysis, extending understanding of their relationship.

Findings

Quantum equivalence proven between models

Use of Batalin-Vilkovisky quantization method

Path integral arguments confirm equivalence

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.