On the flat spacetime Galileons and the Born-Infeld type structures

TL;DR

This paper demonstrates how flat spacetime Galileon field theories can be derived using a Born-Infeld type structure involving brane metrics and scalar field derivatives, revealing new tensorial tools and conserved currents.

Contribution

It introduces a novel Born-Infeld inspired construction for flat spacetime Galileons and relates them to brane dynamics and conserved quantities.

Findings

Derived Galileon tensors and vectors useful for variational analysis.

Connected Galileon theories to probe Lovelock branes in flat space.

Expressed Noether currents in terms of new Galileon-related tensors.

Abstract

We show how the flat spacetime Galileon field theories (FSGFT) in arbitrary dimensions can be obtained through a Born-Infeld type structure. This construction involves a brane metric and non-linear combinations of derivatives of a scalar field. Our setup gives rise to some Galileon tensors and vectors useful for the variational analysis which are related to the momentum density of the probe Lovelock branes floating in a $N$-dimensional flat bulk. We find further that the Noether currents associated to these Galileon theories may be written in terms of such tensors.