# 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={Bianca Dittrich and Thomas 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…

## 48 Citations

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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…

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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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