Massive $4d$ particle with torsion and conformal mechanics

Details Massive $4d$ particle with torsion and conformal mechanics Massive $4d$ particle with torsion and conformal mechanics

1999-04-28

arxiv.org/abs/hep-th/9904192v2

Phys.Lett. B473 (2000) 94-101

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, revised version accepted in Phys.Lett.B

Scientific paper

10.1016/S0370-2693(99)01426-4

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.

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