Phys. Rev. D 54, 5381–5384 (1996)Real alternative to quantum gravity in loop spaceReceived 20 February 1996; published in the issue dated 15 October 1996 We show that the Hamiltonian constraint of four-dimensional Lorentzian gravity, defined on a space of real, SU(2)-valued connections, in spite of its nonpolynomiality possesses a natural quantum analogue in a lattice-discretized formulation of the theory. This opens the way for a systematic search of its zero eigenvectors. The unambiguous and well-defined kinematical scalar product is that of the SU(2)-gauge theory. We also comment on various aspects of the continuum theory. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.54.5381
DOI:
10.1103/PhysRevD.54.5381
PACS:
04.60.Ds, 04.60.Nc
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