Gauge Theory of Massive Tensor Field II --- Covariant Expressions ---

TL;DR

This paper develops covariant formulations for a gauge theory of massive tensor fields by introducing auxiliary scalar and vector fields, enhancing the theoretical framework for massive tensor gauge theories.

Contribution

It presents a new covariant expression for a massive tensor gauge theory using auxiliary scalar and vector fields, extending previous formulations.

Findings

Covariant forms are achieved with auxiliary scalar and vector fields.

Comparison made with theories involving scalar ghosts.

Provides a systematic approach for covariant massive tensor theories.

Abstract

Covariant forms are given to a gauge theory of massive tensor field. This is accomplished by introducing another auxiliary field of scalar type to the system composed of a symmetric tensor field and an auxiliary field of vector type. The situation is compared to the case of the theory in which a tensor field describes a scalar ghost as well as an ordinary massive tensor. In this case only an auxiliary vector field is needed to give covariant expressions for the gauge theory.