From topological to parametrized field theory

TL;DR

This paper explores a modified gravity theory with zero gravitational constant, demonstrating its equivalence to parametrized field theory on flat spacetime and connecting it to topological BF theory, especially when matter fields are included.

Contribution

It establishes the equivalence between the zero-gravity limit of first order general relativity with matter and parametrized field theory, extending previous topological field theory results.

Findings

Shows equivalence with parametrized field theory on flat background

Relates the theory to topological BF theory with matter

Extends previous results to include matter fields

Abstract

It has been proposed to study the theory resulting from setting the gravitational constant to zero in the first order formalism for general relativity. In this letter we investigate this theory in the presence of matter fields, establish its equivalence with parametrized field theory on a flat background, and relate it to previous results in topological field theory (BF theory).