Complex phase spaces and complex gauge groups in general relativity

Peter G. Bergmann; Gerrit J. Smith

doi:10.1103/PhysRevD.43.1157

Complex phase spaces and complex gauge groups in general relativity

Peter G. Bergmann and Gerrit J. Smith

Phys. Rev. D 43, 1157 – Published 15 February 1991

Abstract

The procedures of Ashtekar and Goldberg to achieve a polynomial form of Dirac's canonical lapse and shift generators in general relativity involve a partial complexification of the canonical field variables, which in turn suggests consideration of a complex gauge group. This paper indicates possible approaches.

Received 1 November 1990

DOI:https://doi.org/10.1103/PhysRevD.43.1157

Authors & Affiliations

Peter G. Bergmann

Department of Physics, Syracuse University, Syracuse, New York 13244-1130 and Department of Physics, New York University, 4 Washington Place, New York, New York 10003

Gerrit J. Smith