Gauge Theory of Massive Tensor Field

TL;DR

This paper develops a gauge theory for massive tensor fields using the Batalin-Fradkin algorithm, converting constraints to achieve a smooth massless limit and identifying a suitable gauge-fixing condition.

Contribution

It introduces a novel approach to constructing massive tensor theories with a smooth massless limit by applying the Batalin-Fradkin algorithm and auxiliary fields.

Findings

All second-class constraints are converted into first-class constraints.

A specific gauge-fixing condition yields a desirable massive tensor theory.

The theory ensures a smooth transition to the massless limit.

Abstract

In order to construct a massive tensor theory with a smooth massless limit, we apply the Batalin-Fradkin algorithm to the ordinary massive tensor theory. By introducing an auxiliary vector field all second-class constraints are converted into first-class ones. We find a gauge-fixing condition which produces a massive tensor theory of desirable property.