Testing the master constraint programme for loop quantum gravity : V. Interacting field theories

@article{Dittrich2006TestingTM,
  title={Testing the master constraint programme for loop quantum gravity : V. Interacting field theories},
  author={B. Dittrich and T. Thiemann},
  journal={Classical and Quantum Gravity},
  year={2006},
  volume={23},
  pages={1143-1162}
}
This is the fifth and final paper in our series of five in which we test the master constraint programme for solving the Hamiltonian constraint in loop quantum gravity. Here we consider interacting quantum field theories, specifically we consider the non-Abelian Gauss constraints of Einstein–Yang–Mills theory and 2 + 1 gravity. Interestingly, while Yang–Mills theory in 4D is not yet rigorously defined as an ordinary (Wightman) quantum field theory on Minkowski space, in background-independent… Expand
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