New Variables for Gravity: Inclusion of Matter
May 2, 198942 pages
Published in:
- Phys.Rev.D 40 (1989) 2572
Report number:
- PRINT-89-0346 (SYRACUSE)
Citations per year
Abstract: (APS)
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.- general relativity
- matter
- cosmological constant
- Klein-Gordon equation
- Dirac equation
- gauge field theory: Yang-Mills
- duality
- algebra: constraint
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