Hamiltonian Reduction of Diffeomorphism Invariant Field

Preprint

3 December 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9612036

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

Keywords

DIFFEOMORPHISM INVARIANT FIELD
HAMILTONIAN REDUCTION
INVARIANT FIELD
HYPERSURFACE
QUANTIZATION
ALGEBRAIC

All Related Versions

Version 1, 1996-12-03, ArXiv
Published version: Classical and Quantum Gravity, 14 (2), L45.

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