Massive $4d$ particle with torsion and conformal mechanics
High Energy Physics - Theory
2009-10-31 v2
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.
Keywords
Cite
@article{arxiv.hep-th/9904192,
title = {Massive $4d$ particle with torsion and conformal mechanics},
author = {A. Nersessian},
journal= {arXiv preprint arXiv:hep-th/9904192},
year = {2009}
}
Comments
9 pages, revised version accepted in Phys.Lett.B