# Testing the master constraint programme for loop quantum gravity: I. General framework

@article{Dittrich2004TestingTM, title={Testing the master constraint programme for loop quantum gravity: I. General framework}, author={Bianca Dittrich and Thomas Thiemann}, journal={Classical and Quantum Gravity}, year={2004}, volume={23}, pages={1025 - 1065} }

Recently, the master constraint programme for loop quantum gravity (LQG) was proposed as a classically equivalent way to impose the infinite number of Wheeler–DeWitt constraint equations in terms of a single master equation. While the proposal has some promising abstract features, it was until now barely tested in known models. In this series of five papers we fill this gap, thereby adding confidence to the proposal. We consider a wide range of models with increasingly more complicated…

## 97 Citations

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Testing the Master Constraint Programme for Loop Quantum Gravity III. SL(2,R) Models

- Mathematics
- 2004

This is the third 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 analyse models which,…

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

- Physics
- 2006

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 spin dynamics: VIII. The master constraint

- Mathematics
- 2006

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…

Testing the master constraint programme for loop quantum gravity: IV. Free field theories

- Physics, Geology
- 2006

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: II. Finite-dimensional systems

- Physics
- 2006

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…

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