Symplectic Structure of 2D Dilaton Gravity

Details Symplectic Structure of 2D Dilaton Gravity Symplectic Structure of 2D Dilaton Gravity

1993-07-06

arxiv.org/abs/hep-th/9307033v1

Phys.Lett.B315:267-276,1993

Physics

High Energy Physics

High Energy Physics - Theory

12 pgs, Imperial TP/92-93/37, La-Tex file

Scientific paper

10.1016/0370-2693(93)91611-P

We analyze the symplectic structure of two-dimensional dilaton gravity by evaluating the symplectic form on the space of classical solutions. The case when the spatial manifold is compact is studied in detail. When the matter is absent we find that the reduced phase space is a two-dimensional cotangent bundle and determine the Hilbert space of the quantum theory. In the non-compact case the symplectic form is not well defined due to an unresolved ambiguity in the choice of the boundary terms.

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