New variables for gravity: Inclusion of matter
- Physics Department, Syracuse University, Syracuse, New York 13244-1130 (US)
The Lagrangian and Hamiltonian formulations of general relativity in terms of soldering forms and self-dual connections are extended to include matter sources and the cosmological constant. For matter sources we consider minimally coupled Klein-Gordon fields, complex- and Grassmann-valued Dirac fields, and Yang-Mills fields. Somewhat surprisingly, in spite of the derivative coupling in the spin-half fields, the use of only the self-dual part of the connection as a basic variable does not lead to spurious equations or inconsistencies. Furthermore, as in the source-free case considered earlier, all equations of the theory are polynomial in terms of these variables. Therefore, the framework has several potential applications especially to the nonperturbative canonical quantization program.
- OSTI ID:
- 5248611
- Journal Information:
- Physical Review (Section) D: Particles and Fields; (USA), Vol. 40:8; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GENERAL RELATIVITY THEORY
HAMILTONIANS
GRAVITATIONAL FIELDS
MATTER
COSMOLOGICAL MODELS
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DUALITY
EQUATIONS OF MOTION
HILBERT SPACE
KLEIN-GORDON EQUATION
LAGRANGIAN FUNCTION
METRICS
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SPIN
YANG-MILLS THEORY
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DIFFERENTIAL EQUATIONS
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FIELD THEORIES
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MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
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