# Testing the master constraint programme for loop quantum gravity: III. models

@article{Dittrich2004TestingTM, title={Testing the master constraint programme for loop quantum gravity: III. models}, author={Bianca Dittrich and Thomas Thiemann}, journal={Classical and Quantum Gravity}, year={2004}, volume={23}, pages={1089 - 1120} }

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, despite the fact that the phase space is finite dimensional, are much more complicated than in the second paper. These are systems with an gauge symmetry and the complications arise because non-compact semisimple Lie groups are not amenable (have no finite translation invariant measure). This leads…

## 62 Citations

Testing the Master Constraint Programme for Loop Quantum Gravity I. General Framework

- Computer Science
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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.

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ul 2 00 5 Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity

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Testing the Master Constraint Programme for Loop Quantum Gravity I. General Framework

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- 2004

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.

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

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- 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

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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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