# 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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