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

@article{Dittrich2006TestingTM,
  title={Testing the master constraint programme for loop quantum gravity: IV. Free field theories},
  author={Bianca Dittrich and Thomas Thiemann},
  journal={Classical and Quantum Gravity},
  year={2006},
  volume={23},
  pages={1121-1142}
}
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… 
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49 Citations
Background Citations
4
Methods Citations
6

49 Citations

Testing the master constraint programme for loop quantum gravity: II. Finite-dimensional systems
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…
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.
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The Hamiltonian constraint remains the major unsolved problem in loop quantum gravity (LQG). Some time ago, a mathematically consistent candidate Hamiltonian constraint was proposed but there are…
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We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of…
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References

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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…
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.
The Phoenix Project: Master Constraint Programme for Loop Quantum Gravity
The Hamiltonian constraint remains the major unsolved problem in loop quantum gravity (LQG). Some time ago, a mathematically consistent candidate Hamiltonian constraint was proposed but there are…
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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