Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10725165 | Physics Letters B | 2006 | 7 Pages |
Abstract
We introduce a master constraint operator MË densely defined in the diffeomorphism invariant Hilbert space in loop quantum gravity, which corresponds classically to the master constraint in the programme. It is shown that MË is positive and symmetric, and hence has its Friedrichs self-adjoint extension. The same conclusion is tenable for an alternative master operator MËâ², whose quadratic form coincides with the one proposed by Thiemann. So the master constraint programme for loop quantum gravity can be carried out in principle by employing either of the two operators.
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Authors
Muxin Han, Yongge Ma,