All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Physical Review D

Volume

40

Issue

8

Publisher

American Physical Society

Publication Date

1989

First Page

2588

Last Page

2597

Abstract

A Hamiltonian formulation of the theory of induced gravity in two dimensions is constructed. This formulation differs from previous efforts in that the formalism is covariant under all relevant transformation groups. In particular, spatial diffeomorphism covariance and/or invariance is manifest throughout; the phase space carries a representation of the Lie algebra of the spacetime diffeomorphism group; the group of conformal isometries is projectively represented on the phase space as a symmetry group. The key ingredient that allows covariance with respect to the above groups is the enlargement of the gravitational phase space by the inclusion of the cotangent bundle over the space of embeddings of a Cauchy surface into the spacetime.

Comments

Originally published by the American Physical Society. Publisher's PDF can be accessed through Physical Review D - Particles, Fields, Gravitation, and Cosmology.

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