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arXiv · hep-th/9612036

Hamiltonian Reduction of Diffeomorphism Invariant Field

Jens Hoppe·Tudor Ratiu
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Abstract

For a variety of diffeomorphism-invariant field theories describing hypersurface motions (such as relativistic M-branes in space-time dimension M+2) we perform a Hamiltonian reduction ``at level 0'', showing that a simple algebraic function of the normal velocity is canonically conjugate to the shape Σof the hypersurface. The Hamiltonian dependence on Σis solely via the domain of integration, raising hope for a consistent, reparametrisation-invariant quantization.

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Jens Hoppe, Tudor Ratiu. 1996-12-03. Hamiltonian Reduction of Diffeomorphism Invariant Field. https://doi.org/10.1088/0264-9381%2F14%2F2%2F003

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