Notes on the (2+1)-dimensional Wheeler--DeWitt equation
نویسندگان
چکیده
منابع مشابه
Notes on the (2+1)-Dimensional Wheeler-DeWitt Equation
In contrast to other approaches to (2+1)-dimensional quantum gravity, the Wheeler-DeWitt equation appears to be too complicated to solve explicitly, even for simple spacetime topologies. Nevertheless, it is possible to obtain a good deal of information about solutions and their interpretation. In particular, strong evidence is presented that Wheeler-DeWitt quantization is not equivalent to redu...
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We present a discrete form of the Wheeler-DeWitt equation for quantum gravitation, based on the lattice formulation due to Regge. In this setup the infinite-dimensional manifold of 3geometries is replaced by a space of three-dimensional piecewise linear spaces, with the solutions to the lattice equations providing a suitable approximation to the continuum wave functional. The equations incorpor...
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The ADM approach to canonical general relativity combined with Dirac’s method of quantizing constrained systems leads to the Wheeler-DeWitt equation. A number of mathematical as well as physical difficulties that arise in connection with this equation may be circumvented if one employs a covariant Hamiltonian method in conjunction with a recently developed, mathematically rigorous technique to ...
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The Wheeler-DeWitt equation is based on the use of canonical quantization rules that may be inconsistent for constrained dynamical systems, such as Einstein’s gravitational field equations. The resulting quantum dynamics has no classical limit, and it suffers from the infamous “problem of time.” In this article, it is shown how a dynamical time (an internal “clock”) can be constructed by means ...
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Commutator anomalies obstruct solving the Wheeler-DeWitt constraint equation in Dirac quantization of quantum gravity-matter theory. When the obstruction is removed, there result quantal modifications to the constraints. The same classical theory gives rise to different quantum theories when different procedures for overcoming anomalies are implemented. In a canonical, Hamiltonian approach to q...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1994
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/11/1/007