# 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} }

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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