Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-04-23
Class.Quant.Grav. 21 (2004) 5563-5586
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, latex
Scientific paper
10.1088/0264-9381/21/23/017
We consider a relativistic extended object described by a reparametrization invariant local action that depends on the extrinsic curvature of the worldvolume swept out by the object as it evolves. We provide a Hamiltonian formulation of the dynamics of such higher derivative models which is motivated by the ADM formulation of general relativity. The canonical momenta are identified by looking at boundary behavior under small deformations of the action; the relationship between the momentum conjugate to the embedding functions and the conserved momentum density is established. The canonical Hamiltonian is constructed explicitly; the constraints on the phase space, both primary and secondary, are identified and the role they play in the theory described. The multipliers implementing the primary constraints are identified in terms of the ADM lapse and shift variables and Hamilton's equations shown to be consistent with the Euler-Lagrange equations.
Capovilla Riccardo
Guven Jemal
Rojas Efrain
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