Immirzi ambiguity in the kinematics of quantum general relativity

  title={Immirzi ambiguity in the kinematics of quantum general relativity},
  author={Luis J. Garay and Guillermo A. Mena Marug{\'a}n},
  journal={Physical Review D},
The Immirzi ambiguity arises in loop quantum gravity when geometric operators are represented in terms of different connections that are related by means of an extended Wick transform. We analyze the action of this transform in gravity coupled with matter fields and discuss its analogy with the Wick rotation on which the Thiemann transform between Euclidean and Lorentzian gravity is based. In addition, we prove that the effect of this extended Wick transform is equivalent to a constant scale… 
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