TORSION AND CHIRAL FERMIONS IN KALUZA-KLEIN THEORIES

Neville, D.E.

doi:10.1103/PhysRevD.33.363

TORSION AND CHIRAL FERMIONS IN KALUZA-KLEIN THEORIES

D.E. Neville
(
- Temple U.
)

1986

7 pages

Published in:

Phys.Rev.D 33 (1986) 363-369

DOI:

10.1103/PhysRevD.33.363

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Abstract: (APS)

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.

Kaluza-Klein model
FIELD THEORY: TORSION
SYMMETRY: CHIRAL
FERMION
Dirac equation
FIELD THEORY: MASSLESS
MASSLESS: FIELD THEORY
FIELD EQUATIONS: MONOPOLE
FIELD EQUATIONS: INSTANTON
TRANSFORMATION: LORENTZ

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