On the validity of ADM formulation in 2d quantum gravity
نویسنده
چکیده
We investigate 2d gravity quantized in the ADM formulation, where only the loop length l(z) is retained as a dynamical variable of the gravitation, in order to get an intuitive physical insight of the theory. The effective action of l(z) is calculated by adding scalar fields of conformal coupling, and the problems of the critical dimension and the time development of l are addressed. ∗ e-mail address: [email protected] † e-mail address: [email protected]
منابع مشابه
Quantized 2d Dilaton Gravity and Black Holes
We have examined a modified dilaton gravity whose action is separable into the kinetic and the cosmological terms for the sake of the quantization. The black hole solutions survive even in the quantized theory, but the ADM mass of the static solution is unbounded from below. Quantum gravitational effect on the interacting matter field is also examined. e-mail: [email protected]
متن کاملar X iv : h ep - t h / 96 04 09 3 v 1 1 7 A pr 1 99 6 Quantisation of 2 D - gravity with Weyl and area - preserving diffeomorphism invariances
The constraint structure of the induced 2D-gravity with the Weyl and area-preserving diffeomorphism invariances is analysed in the ADM formulation. It is found that when the area-preserving diffeomorphism constraints are kept, the usual conformal gauge does not exist, whereas there is the possibility to choose the so-called “quasi-light-cone” gauge, in which besides the area-preserving diffeomo...
متن کاملQuantization and the Issue of Time for Various Two-Dimensional Models of Gravity
It is shown that the models of 2D Liouville Gravity, 2D Black Holeand R2Gravity are embedded in the Katanaev-Volovich model of 2D NonEinsteinian Gravity. Different approaches to the formulation of a quantum theory for the above systems are then presented: The Dirac constraints can be solved exactly in the momentum representation, the path integral can be integrated out, and the constraint algeb...
متن کاملA Kuchař Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields
The Kuchař canonical transformation for vacuum geometrodynamics in the presence of cylindrical symmetry is applied to a general non-vacuum case. The resulting constraints are highly nonlinear and non-local in the momenta conjugate to the Kuchař embedding variables. However, it is demonstrated that the constraints can be solved for these momenta and thus the dynamics of cylindrically symmetric m...
متن کاملQuantum Evaporation of Liouville Black Holes
The classical field equations of a Liouville field coupled to gravity in two spacetime dimensions are shown to have black hole solutions. Exact solutions are also obtained when quantum corrections due to back reaction effects are included, modifying both the ADM mass and the black hole entropy. The thermodynamic limit breaks down before evaporation of the black hole is complete, indicating that...
متن کامل