Generalized Hamilton-Jacobi transformations: Gauge and diffeomorphism constraints

Details Generalized Hamilton-Jacobi transformations: Gauge and diffeomorphism constraints Generalized Hamilton-Jacobi transformations: Gauge and diffeomorphism constraints

Oct 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..54.4997g&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 54, Issue 8, 15 October 1996, pp.4997-5001

Physics

Canonical Quantization, Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

Newman and Rovelli have introduced generalized singular Hamilton-Jacobi transformations to solve the gauge and diffeomorphism constraints in the Ashtekar formalism. However, this solution does not have a Minkowski space limit. Starting from the linearized constraints, Goldberg and Robinson were able to find a solution, but their solution cannot be related to that of Newman and Rovelli. In this paper, the linearized solution is generalized and the Newman-Rovelli result is modified to have a Minkowski space limit. Unfortunately, the scalar constraint remains an unsolved problem.

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