BV QUANTIZATION OF A VECTOR-TENSOR GAUGE THEORY WITH TOPOLOGICAL COUPLING

TL;DR

This paper applies the BV quantization method to a gauge theory with tensor and vector fields coupled topologically, analyzing reducibility and mass generation effects.

Contribution

It introduces a BV quantization framework for a coupled tensor-vector gauge theory with topological interactions, highlighting reducibility and mass term emergence.

Findings

BV quantization successfully applied to the coupled gauge system

Identified reducibility conditions in the tensor sector

Demonstrated the appearance of a mass term in the effective vector theory

Abstract

We use the BV quantization method for a theory with coupled tensor and vector gauge fields through a topological term. We consider in details the reducibility of the tensorial sector as well as the appearance of a mass term in the effective vectorial theory .