Torsion and chiral fermions in Kaluza-Klein theories

Details Torsion and chiral fermions in Kaluza-Klein theories Torsion and chiral fermions in Kaluza-Klein theories

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33..363n&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 2, 15 January 1986, pp.363-369

Physics

4

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

The massless Dirac equation is solved on compact manifolds (S4 and CP2×S2) in the presence of torsion. The normalizable solutions display chiral asymmetry when the torsion is given a monopolelike, or instantonlike, form. The Cartan equations, the field equations for the torsion, are checked for ghosts and higher derivatives. In the models studied here, the torsion is typically a gauge field, and its matter source obeys a constraint; this constraint is checked for consistency with the constraint due to invariance under local Lorentz transformations.

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