Phys. Rev. D 49, 6935–6938 (1994)Real-polynomial formulation of general relativity in terms of connectionsReceived 15 November 1993; published in the issue dated 15 June 1994 I show in this Brief Report that it is possible to construct a Hamiltonian description for Lorentzian general relativity in terms of two real SO(3) connections. The constraints are simple polynomials in the basic variables. The present framework gives us a new formulation of general relativity that keeps some of the interesting features of the Ashtekar formulation without the complications associated with the complex character of the latter. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.6935
DOI:
10.1103/PhysRevD.49.6935
PACS:
04.20.Cv, 04.20.Fy
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