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Phys. Rev. D 59, 047505 (1999) [4 pages]

Yang-Mills analogues of the Immirzi ambiguity

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Rodolfo Gambini
Instituto de Física, Facultad de Ingeniería, J. Herrera y Reissig 565, Montevideo, Uruguay

Octavio Obregón
Instituto de Física, Universidad de Guanajuato, P.O. Box E-143, C.P. 37150 León, Guanajuato, Mexico

Jorge Pullin
Center for Gravitational Physics and Geometry, Department of Physics, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802

Received 3 September 1998; published 28 January 1999

We show that the somewhat controversial “Immirzi ambiguity” of the Ashtekar-like formulation of canonical quantum gravity has strong similarities with other ambiguities that appear in Yang-Mills theories, such as the θ ambiguity. This clarifies the role of the ambiguities. We also discuss other ambiguities in the Maxwell case, and the implications for the loop quantization of these theories.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.047505
DOI:
10.1103/PhysRevD.59.047505
PACS:
04.60.Ds