Hamiltonian Reduction of Diffeomorphism Invariant Field

Details Hamiltonian Reduction of Diffeomorphism Invariant Field Hamiltonian Reduction of Diffeomorphism Invariant Field

1996-12-03

arxiv.org/abs/hep-th/9612036v1

Class.Quant.Grav.14:L45-L48,1997

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, LaTex

Scientific paper

10.1088/0264-9381/14/2/003

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 \Sigma of the hypersurface. The Hamiltonian dependence on \Sigma is solely via the domain of integration, raising hope for a consistent, reparametrisation-invariant quantization.

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