Propagating Torsion in 3D-Gravity and Dynamical Mass Generation


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.

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@inproceedings{Boldo2008PropagatingTI, title={Propagating Torsion in 3D-Gravity and Dynamical Mass Generation}, author={J. L. Boldo and Jos{\'e} Abdalla Helay{\"{e}l-Neto and Nicola Panza}, year={2008} }