Yang-Mills analogues of the Immirzi ambiguity

Abstract

We draw parallels between the recently introduced ``Immirzi ambiguity'' of the Ashtekar-like formulation of canonical quantum gravity and other ambiguities that appear in Yang-Mills theories, like the $\theta$ ambiguity. We also discuss ambiguities in the Maxwell case, and implication for the loop quantization of these theories.

5 pages, revtex, no figures

References in corpus (4)

• Quantum Geometry and Black Hole Entropy
• Real and complex connections for canonical gravity
• The Immirzi parameter in quantum general relativity
• Loop Variables for compact two-dimensional quantum electrodynamics

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