Discussing the Spectrum of the Kalb-Ramond Field Coupled to 3D-Gravity

TL;DR

This paper investigates how torsion influences mass generation in the Kalb-Ramond field coupled to 3D gravity, showing torsion prevents mass gap formation while its absence allows for it, through 1-loop analysis.

Contribution

It demonstrates the role of torsion as an obstruction to mass generation in the Kalb-Ramond field within 3D gravity models.

Findings

Torsion obstructs 1-loop mass correction for the gauge field.

Absence of torsion allows a mass gap to form for the 2-form field.

Mass generation depends critically on torsion presence.

Abstract

The mechanism of dynamical mass generation for the gauge field is studied through 1-loop. We find out that torsion is an obstruction to the appearance of a 1-loop mass correction. Contrary, if torsion is not present, a mass gap is generated for the 2-form field.