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Journal Article

Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories

MPS-Authors
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Dittrich,  Bianca
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Thiemann,  Thomas
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0411141.pdf
(Preprint), 290KB

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Citation

Dittrich, B., & Thiemann, T. (2006). Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories. Classical and Quantum Gravity, 23(4), 1121-1142.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4AF3-8
Abstract
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 with constraints, namely Maxwell theory and linearized gravity. Since the Master constraint involves squares of constraint operator valued distributions, one has to be very careful in doing that and we will see that the full flexibility of the Master Constraint Programme must be exploited in order to arrive at sensible results.