Summary: MAD/TH­94­10
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
Abstract
We examine two methods for incorporating complex first­class 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
variables.
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
Canada

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

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

Collections: Physics