The masses of gauge fields in higher spin field theory on the bulk of $AdS_{4}$

TL;DR

This paper derives a gauge-invariant interaction Lagrangian for higher spin gauge fields in AdS4, analyzing one-loop corrections and the emergence of gauge boson masses via symmetry breaking mechanisms.

Contribution

It introduces a novel local gauge invariant Lagrangian for higher spin fields in AdS4 and explores its implications for gauge boson mass generation through quantum corrections.

Findings

One-loop corrections reveal the gauge boson mass squared as a proportionality factor.

The loop function includes the Goldstone boson propagator associated with gauge symmetry breaking.

The work provides insights into mass generation mechanisms in higher spin gauge theories on AdS4.

Abstract

A local gauge invariant interaction Lagrangian for two gauge fields of spin $\ell$ and $\ell-2$ $(\ell>2)$ and the scalar field is defined. It gives rise to one-loop corrections to the gauge field propagator. The loop function contains the Goldstone boson propagator for gauge symmetry breaking. The proportionality factor in front of this propagator is the mass squared of the gauge boson.