General covariance, new variables, and dynamics without dynamics

Details General covariance, new variables, and dynamics without dynamics General covariance, new variables, and dynamics without dynamics

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..42.4070h&link_type=abstract

Physical Review D (Particles and Fields), Volume 42, Issue 12, 15 December 1990, pp.4070-4077

Physics

49

Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

We give an example of a generally covariant geometric field theory which leads to the standard Gaussian and supermomentum constraints but which lacks the super-Hamiltonian constraint. This theory is closely linked to Ashtekar's canonical formulation of general relativity. We discuss the Dirac constraint quantization of our model and comment on the issues which it raises regarding the quantization of generally covariant systems.

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