Reality conditions inducing transforms for quantum gauge field theory and quantum gravity

@article{Thiemann1996RealityCI,
  title={Reality conditions inducing transforms for quantum gauge field theory and quantum gravity},
  author={Thomas Thiemann},
  journal={Classical and Quantum Gravity},
  year={1996},
  volume={13},
  pages={1383-1404}
}
  • T. Thiemann
  • Published 21 November 1995
  • Physics
  • Classical and Quantum Gravity
The algebraic form of the Hamiltonian or Hamiltonian constraint of various (field) theories simplifies considerably if one uses certain complex-valued phase space variables. We show, for a general theory, that if we prescribe first a canonical complexification and second representation of the canonical commutation relations in which the real connection is diagonal, then there is only one choice of a holomorphic representation which incorporates the correct reality conditions and keeps the… 
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