Real sector of self-dual Gravity with only first class constraints

Details Real sector of self-dual Gravity with only first class constraints Real sector of self-dual Gravity with only first class constraints

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..490..401m&link_type=abstract

The eighth mexican school on particles and fields. AIP Conference Proceedings, Volume 490, pp. 401-404 (1999).

Computer Science

1

Quantum Gravity

Scientific paper

General Relativity in terms of Ashtekar variables describe complex gravity. To identify the real sector of the theory, reality conditions are implemented as second class constraints, leading to two real configurational degrees of freedom per space point. Nevertheless, this realization makes non-polynomial some of the constraints. For the sake of preserving the simplicity of the constraints, an alternative method preventing the use of Dirac brackets, is discussed. It consists of converting all second class constraints into first class by adding extra variables.

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