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Master constraint approach to quantum-reduced loop gravity
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DOI：10.1088/1361-6382/ad4506.png)
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We introduce a master constraint operator on the kinematical Hilbert space of loop quantum gravity representing a set of gauge conditions which classically fix the densitized triad to be diagonal. We argue that the master constraint approach provides a natural and systematic way of carrying out the quantum gauge-fixing procedure which underlies the model known as quantum-reduced loop gravity. The Hilbert space of quantum-reduced loop gravity is obtained as a particular space of solutions of the gauge-fixing master constraint operator. We give a concise summary of the fundamental structure of the quantum-reduced framework, and consider several possible extensions thereof, for which the master constraint formulation provides a convenient starting point. In particular, we propose a generalization of the standard Hilbert space of quantum-reduced loop gravity, which may be relevant in the application of the quantum-reduced model to physical situations in which the Ashtekar connection is not diagonal.
Keyword:
loop quantum gravity
quantum-reduced loop gravity
models of loop quantum gravity
master constraint
quantum gauge-fixing
期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
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