Modular group, operator ordering, and time in (2+1)-dimensional gravity
نویسندگان
چکیده
منابع مشابه
Modular group, operator ordering, and time in (2+1)-dimensional gravity.
A choice of time-slicing in classical general relativity permits the construction of time-dependent wave functions in the “frozen time” Chern-Simons formulation of (2 + 1)-dimensional quantum gravity. Because of operator ordering ambiguities, however, these wave functions are not unique. It is shown that when space has the topology of a torus, suitable operator orderings give rise to wave funct...
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The role of the modular group in the holonomy representation of (2+1)-dimensional quantum gravity is studied. This representation can be viewed as a “Heisenberg picture,” and for simple topologies, the transformation to the ADM “Schrödinger picture” may be found. For spacetimes with the spatial topology of a torus, this transformation and an explicit operator representation of the mapping class...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1993
ISSN: 0556-2821
DOI: 10.1103/physrevd.47.4520