Field redefinitions and massive BF models in arbitrary space-time dimensions

TL;DR

This paper demonstrates that topological massive BF theories can be reformulated as pure BF terms via field redefinitions expanded in inverse mass, supported by a cohomological BRST analysis, highlighting the topological nature of mass generation.

Contribution

It introduces a method to rewrite massive BF theories as pure BF models using field redefinitions and cohomological techniques, providing new insights into their topological structure.

Findings

Massive BF theories can be expressed as pure BF models.

Field redefinitions are expanded as power series in inverse mass.

Cohomological BRST analysis justifies the expansion.

Abstract

We show that the topological massive BF theories can be written as a pure BF term through field redefinitions. The fields are rewritten as power expansion series in the inverse of the mass parameter $m$. We also give a cohomological justification of this expansion through BRST framework. In this approach the BF term can be seen as a topological generator for massive BF theories.