Massless fermions and Kaluza--Klein theory with torsion

Journal Article · Sat Sep 01 00:00:00 EDT 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526502· OSTI ID:6582077

Wu, Y; Zee, A

A pure Kaluza--Klein theory contains no massless fermion in four-dimensional theory. We investigate the effect of introducing torsion on the internal manifold and find that there are massless fermions. The hope is that given an isometry group the representation to which these fermions belong is fixed, in contrast to the situation in Yang--Mills theory. We show that this is indeed the case, but the representations do not appear to be the ones favored by current theoretical prejudice. The cases with parallelizable torsions on a group manifold as the internal manifold are analyzed in detail.

• Research Organization: University of Washington, Seattle, Washington 98195
• OSTI ID: 6582077
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 25:9
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FERMIONS
KALUZA-KLEIN THEORY
MASSLESS PARTICLES
FOUR-DIMENSIONAL CALCULATIONS
MATHEMATICAL MANIFOLDS
SYMMETRY GROUPS
TORSION
ELEMENTARY PARTICLES
FIELD THEORIES
UNIFIED-FIELD THEORIES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation