Yang-Mills theory as Schroedinger quantum mechanics on the space of gauge-group orbits
Journal Article
·
· Phys. Rev. D; (United States)
Recent proposals to study Yang-Mills theory on the space of gauge-group orbits are reconsidered. In particular, it is shown that the right formal Hamiltonian is not given by -h/sup 2//2 times the Laplace-Beltrami operator plus the standard ''magnetic field'' potential, as was suggested, but has an additional potential term proportional to h/sup 2/ and is expressible in terms of the geometry not only of the space of gauge-group orbits but also of the orbits themselves as embedded in the space of gauge fields. Formal discussion of the continuum fields is substantiated by a rigorous consideration of lattice gauge theory.
- Research Organization:
- Institut des Hautes Etudes Scientifiques, 35, route de Chartes, 91440 Bures-sur-Yvette, France
- OSTI ID:
- 6420127
- Journal Information:
- Phys. Rev. D; (United States), Vol. 26:12
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
YANG-MILLS THEORY
QUANTUM MECHANICS
GAUGE INVARIANCE
HAMILTONIANS
LATTICE FIELD THEORY
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
YANG-MILLS THEORY
QUANTUM MECHANICS
GAUGE INVARIANCE
HAMILTONIANS
LATTICE FIELD THEORY
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics