Immirzi ambiguity in the kinematics of quantum general relativity

@article{Garay2002ImmirziAI,
  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},
  year={2002},
  volume={66},
  pages={024021}
}
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… 
Shape Dynamical Loop Gravity from a Conformal Immirzi Parameter
The Immirzi parameter of loop quantum gravity is a one parameter ambiguity of the theory whose precise interpretation is not universally agreed upon. It is an inherent characteristic of the quantum
LETTER TO THE EDITOR: Immirzi ambiguity, boosts and conformal frames for black holes
We analyse changes of the Immirzi parameter in loop quantum gravity and compare their consequences with those of Lorentz boosts and constant conformal transformations in black-hole physics. We show
Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity ∗
This bibliography attempts to give a comprehensive overview of all the literature related to what is known as the Ashtekar- Sen connection and the Rovelli-Smolin loop variables, from which the

References

Lectures on Non-Perturbative Canonical Gravity
Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of