Modification of Kaluza-Klein theory

Journal Article · Fri Jun 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.3709· OSTI ID:6739097

Madore, J ^[1]

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1. Laboratoire de Physique Theorique et Hautes Energies, Universite de Paris-Sud, Batiment 211, F-91405 Orsay (France)

A modification of the traditional formulation of Kaluza-Klein theory is proposed in which the internal structure is described by a noncommutative geometry based on a semisimple algebra. The classical theory of Yang-Mills fields and of Dirac fermions is developed in the resulting geometry. The generalized connection is written down which should describe the unification of the Yang-Mills fields with gravity, but the gravitational sector is not described in detail. As an example the mass and charge spectrum of the Yang-Mills-Dirac theory are given for a specific internal structure.

• OSTI ID: 6739097
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARGE DISTRIBUTION
DIRAC OPERATORS
FERMIONS
FIELD THEORIES
HIGGS MODEL
KALUZA-KLEIN THEORY
LIE GROUPS
MASS SPECTRA
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
PARTICLE MODELS
QUANTUM OPERATORS
SPACE-TIME
SPECTRA
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY