HAMILTONIAN REDUCTION OF DIFFEOMORPHISM-INVARIANT FIELD-THEORIES

Authors
HOPPE J RATIU T
Citation
J. Hoppe et T. Ratiu, HAMILTONIAN REDUCTION OF DIFFEOMORPHISM-INVARIANT FIELD-THEORIES, Classical and quantum gravity, 14(2), 1997, pp. 45-48
Citations number
12
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
14
Issue
2
Year of publication
1997
Pages
45 - 48
Database
ISI
SICI code
0264-9381(1997)14:2<45:HRODF>2.0.ZU;2-N
Abstract
For a variety of diffeomorphism-invariant field theories describing hy persurface motions (such as relativistic M-branes in spacetime dimensi on M+2) we perform a Hamiltonian reduction 'at level 0', showing that a simple algebraic function of the normal velocity is canonically conj ugate to the shape Sigma of the hypersurface. The Hamiltonian dependen ce on Sigma is solely via the domain of integration, raising hope for a consistent, reparametrization-invariant quantization.