Hamiltonian reduction of diffeomorphism-invariant field theories
- 1 February 1997
- journal article
- letter
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 14 (2) , L45-L48
- https://doi.org/10.1088/0264-9381/14/2/003
Abstract
For a variety of diffeomorphism-invariant field theories describing hypersurface motions (such as relativistic M-branes in spacetime 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 of the hypersurface. The Hamiltonian dependence on is solely via the domain of integration, raising hope for a consistent, reparametrization-invariant quantization.Keywords
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