Geometric gauge unification of the four fundamental interactions of elementary particles

Thesis/Dissertation · Fri Jan 01 00:00:00 EST 1982

OSTI ID:6245839

Bernido, C C

A high-dimensional unified field theory of all fundamental forces between elementary particles is formulated with emphasis on the gauge theoretic treatment of gravitation. Firstly, the de Sitter gauge theory of gravitation is incorporated into the Kaluza-Klein scheme. The global SO(4,1) symmetry requirement leads to a uniformly curved spacetime, whereas the localization of the symmetry results in a generally curved ten-dimensional geometry. Gravitation is then described by the gauge fields A/sub ..mu..//sup a/ as well as the metric fields g/sub ..mu.. nu/. The dual description of the gravitational fields is essential in casting the gauge theory of gravitation into the Kaluza-Klein scheme. On the other hand, this formulation brings about the Yang term as a source to Einstein's field equation. A test particle placed in this gravitational geometry is found not to follow a geodesic path in spacetime. This dilemma may be resolved by requiring that the gravitational charge, an analogue of the electric charge, carried by the particle is always zero. In fact, with this requirement and a built-in constraint in the 10-dimensional geometry, the contribution from the Yang term vanishes identically. Thus, secondly, a unified treatment of all fundamental forces is developed by extending the Kaluza-Klein scheme to a (10 + n)-dimensional scheme. Upon localization of the de Sitter symmetry, the Lorentz group SO(3,1) has locally been preserved.

• Research Organization: State Univ. of New York, Albany (USA)
• OSTI ID: 6245839
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
UNIFIED GAUGE MODELS
ELECTROMAGNETIC INTERACTIONS
GRAVITATIONAL INTERACTIONS
SO GROUPS
SPACE-TIME
STRONG INTERACTIONS
WEAK INTERACTIONS
BASIC INTERACTIONS
INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation