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APS » Journals » Phys. Rev. D » Volume 43 » Issue 4
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Phys. Rev. D 43, 1157–1161 (1991)

Complex phase spaces and complex gauge groups in general relativity

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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
Department of Philosophy, Fordham University, Bronx, New York 10458

Received 1 November 1990; published in the issue dated 15 February 1991

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.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.43.1157
DOI:
10.1103/PhysRevD.43.1157
PACS:
 
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