Quantum de Sitter fiber bundle interpretation of hadron extension
A quantized geometrical description of hadron extension is developed based on Drechsler's soldered de Sitter fiber bundle, which possesses as fiber a local four-dimensional Riemannian space of constant curvature characterized by a radius of curvature R of the order of 1 Fermi. The structural (gauge) group of the bundle is a de Sitter SO(4, 1), which contains all observable transformations (rotations as well as translations). The quantized de Sitter-structured connection of the bundle leads to a set of self-interaction gauge operators that ''act back'' on the de Sitter bundle by inducing a local curvature, which, in turn, affects a small neighborhood of the adjoining space-time position, leading to the experimentally observed ''size'' of the hadron. A particular choice for the quantized Lorentz cross section (gauge) is made that leads to the mathematically consistent and experimentally verifiable hadron model, the quantum relativistic rotator. Also investigated is the limit corresponding to taking the radius of curvature of the de Sitter fiber to infinity.
- Research Organization:
- Eastern Illinois Univ., Charleston, IL
- OSTI ID:
- 7074280
- Report Number(s):
- CONF-8505305-
- Journal Information:
- Int. J. Theor. Phys.; (United States), Vol. 25:5; Conference: 3. Loyola conference on quantum theory and gravitation, New Orleans, LA, USA, 29 May 1985
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
EXTENDED PARTICLE MODEL
DE SITTER GROUP
QUANTIZATION
HADRONS
COMMUTATION RELATIONS
COUPLING CONSTANTS
GAUGE INVARIANCE
MINKOWSKI SPACE
POINCARE GROUPS
QUANTUM MECHANICS
SO GROUPS
SPACE-TIME
STRONG INTERACTIONS
BASIC INTERACTIONS
ELEMENTARY PARTICLES
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
PARTICLE MODELS
SPACE
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory