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MAD/TH-94-10 September, 1994

Summary: MAD/TH-94-10
September, 1994
Reality Conditions, Reducibility and Ghosts
Theodore J. Allen and Dennis B. Crossley
Department of Physics, University of Wisconsin
1150 University Avenue, Madison, WI 53706 USA
We examine two methods for incorporating complex first-class constraints into
the BRST formalism when the complex conjugates of the constraints are linearly
dependent upon the constraints, as is the case for general relativity in the Ashtekar
PACS: 03.70.+k, 04.60.Ds, 11.15.-q
Present Address: Dept. of Physics, U. Toronto, 60 St. George St., Toronto, ON M5S 1A7
1. Introduction
The gravitational force, the first fundamental force to be understood classically,
has yet to reconciled with quantum mechanics. Attempts at constructing a quan-
tum theory have ranged from Dirac's work on the canonical quantization of general
relativity, through perturbative quantum field theory to supersymmetric string the-
ory. The perturbative approach failed because general relativity, long known to be


Source: Allen, Theodore J. - Physics Department, Hobart and William Smith Colleges


Collections: Physics