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Phys. Rev. D 71, 085014 (2005) [6 pages]

Elementary model of constraint quantization with an anomaly

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J. Scott Little and John R. Klauder*
Department of Physics, University of Florida, P.O. Box 118440, Gainesville, Florida 32611-8440, USA

Received 10 February 2005; published 22 April 2005

Quantum gravity is made more difficult in part by its constraint structure. The constraints are classically first-class; however, upon quantization they become partially second-class. To study such behavior, we focus on a simple problem with finitely many degrees of freedom and demonstrate how the projection operator formalism for dealing with quantum constraints is well suited to this type of example.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.085014
DOI:
10.1103/PhysRevD.71.085014
PACS:
03.65.Ca, 11.15.−q, 11.15.Tk

*Also Department of Mathematics