Testing the master constraint programme for loop quantum gravity: II. Finite-dimensional systems

@article{Dittrich2006TestingTM,
  title={Testing the master constraint programme for loop quantum gravity: II. Finite-dimensional systems},
  author={Bianca Dittrich and Thomas Thiemann},
  journal={Classical and Quantum Gravity},
  year={2006},
  volume={23},
  pages={1067-1088}
}
This is the second paper in our series of five in which we test the master constraint programme for solving the Hamiltonian constraint in loop quantum gravity. In this work, we begin with the simplest examples: finite-dimensional models with a finite number of first or second class constraints, Abelian or non-Abelian, with or without structure functions. 
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62 Citations
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Methods Citations
3
Results Citations
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62 Citations

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References

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Testing the master constraint programme for loop quantum gravity: IV. Free field theories
This is the fourth paper in our series of five in which we test the master constraint programme for solving the Hamiltonian constraint in loop quantum gravity. We now move on to free field theories…
Testing the master constraint programme for loop quantum gravity : V. Interacting field theories
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…
Testing the Master Constraint Programme for Loop Quantum Gravity I. General Framework
TLDR
It is shown that the master constraint programme has a wide range of applicability but that there are many, physically interesting subtleties that must be taken care of in doing so.
Quantum spin dynamics: VIII. The master constraint
Recently the master constraint programme (MCP) for loop quantum gravity (LQG) was launched which replaces the infinite number of Hamiltonian constraints by a single master constraint. The MCP is…
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