We study the effect of mass on geometric descriptions of gauge field theories. In an approach in which the massless theory resembles general relativity, the introduction of the mass entails non-zero torsion and the generalization to Einstein–Cartan–Sciama–Kibble theories. The relationships to pure torsion formulations (teleparallel gravity) and to higher gauge theories are also discussed.
One contribution of 13 to a theme issue ‘New geometric concepts in the foundations of physics’.
- Accepted May 14, 2015.
- © 2015 The Author(s) Published by the Royal Society. All rights reserved.