Massive particle with torsion and conformal mechanics
arXiv:hep-th/9904192 · doi:10.1016/S0370-2693(99)01426-4
Abstract
The consequences of coupling of the torsion (highest curvature) term to the Lagrangian of a massive spinless particle in four-dimensional space-time are studied. It is shown that the modified system remains spinless and possesses extended gauge invariance. Though the torsion term does not generate spin, it provides the system with a nontrivial mass spectrum, described by one-dimensional conformal mechanics. Under an appropriate choise of characteristic constants the system has solutions with a discrete mass spectrum.
9 pages, revised version accepted in Phys.Lett.B