Physical Review D
American Physical Society
The structure of the Poisson-brackets algebra of constraints of general relativity is reexamined using the recently introduced spinorial variables. Three different combinations of constraints are analyzed and their relative merits are discussed. In each case we construct the corresponding expression of the Becchi-Rouet-Stora-Tyutin charge. These expressions provide a point of departure for a nonperturbative quantization scheme for general relativity.
A. Ashtekar, P. Mazur, and C. Torre, “BRST structure of general relativity in terms of new variables,” Physical Review D, vol. 36, 1987, pp. 2955-2962.