Modern Canonical Quantum General Relativity

@inproceedings{Thiemann2007ModernCQ,
  title={Modern Canonical Quantum General Relativity},
  author={Thomas Thiemann},
  year={2007}
}
This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the title refers to the fact that the quantum theory is based on formulating classical general relativity as a theory of connections rather than metrics as compared to in original version due to Arnowitt, Deser and Misner. Canonical quantum general relativity is an attempt to define a mathematically rigorous, non… Expand
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References

SHOWING 1-3 OF 3 REFERENCES
First-and second-class constraints and the Dirac bracket 674
    The Dirac algorithm 671
      The Dirac algorithm for field theories with constraints 671