- B. M. Pimentel, A. T. Suzuki, J. L. Tomazelli
- J. Mod. Phys. A7 (1992) 5307; B. M. Pimentel, and…
In this paper, fermions are minimally coupled to 3D-gravity where a dynamical torsion is introduced. A Kalb-Ramond field is nonminimally coupled to these fermions in a gauge-invariant way. We show that a 1-loop mass generation mechanism takes place for both the 2-form gauge field and the torsion. As for the fermions, no mass is dynamically generated: at 1-loop, there is only a mass shift proportional to the Yukawa coupling whenever the fermions have a nonvanishing tree-level mass.