Hamiltonian Reduction of Diffeomorphism Invariant Field
High Energy Physics - Theory
2010-04-06 v1
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
Cite
@article{arxiv.hep-th/9612036,
title = {Hamiltonian Reduction of Diffeomorphism Invariant Field},
author = {Jens Hoppe and Tudor Ratiu},
journal= {arXiv preprint arXiv:hep-th/9612036},
year = {2010}
}
Comments
4 pages, LaTex