CANONICAL VARIABLES FOR THE INTERACTING GRAVITATIONAL AND DIRAC FIELDS
ABS>The problem of reducing the Lagrangian for the interacting gravitational and Dirac fields to canonical form is discussed, using the vierbein formalism. The arbitrary gauge variables corresponding to local Lorentz transformations of the vieibein are removed by imposing Schwinger's time-gauge condition, and a further condition that the spatial part of the vierbein be symmetric. It is shown that in this gauge the Lagrangian can be expressed in a canonical form involving essentially the same gravitational-field variables as in the absence of matter, and that the generators of spatial translations and rotations have the expected form. (auth)
- Research Organization:
- Imperial Coll. of Science and Tech., London
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-18-000934
- OSTI ID:
- 4163081
- Journal Information:
- J. Math. Phys. (N. Y.), Journal Name: J. Math. Phys. (N. Y.) Vol. Vol: 4
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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