Hamiltonian formulation of the D-brane action and the light-cone Hamiltonian

Abstract

We present the Hamiltonian formulation of the bosonic Dirichlet p-brane action. We rewrite the recently proposed quadratic D-brane action in terms of generalized shift vector and lapse function. The first class and the second class constraints are explicitly separated for the bosonic case. We then impose the gauge conditions in such a way that only time-independent gauge transformations are left. In this gauge we obtain the light-cone Hamiltonian which is quadratic in the field momenta of scalar and vector fields. The constraints are explicitly solved to eliminate part of the canonical variables. The Dirac brackets between the remaining variables are computed and shown to be equal to simple Poisson brackets.

Revtex,12 pages,no figures; A section on degrees of freedom added, discussions on supersymmetric case removed, some references added, with other minor corrections

References in corpus (4)

• A Picture of D-branes at Strong Coupling
• Covariant Quantization of D-branes
• Intrinsic Geometry of D-Branes
• The rigid symmetries of bosonic D-strings

Cited by in corpus (6)

• A Picture of D-branes at Strong Coupling II. Spinning Partons
• Canonical Formulation of IIB D-branes
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Light-Cone Formulation of D2-Brane
• Geometrical dynamics of Born-Infeld objects
• D2-brane with RR and NSNS fluxes and its dual M-theory origin