Hamiltonian Analyses of New Set of Dual Actions of Bosonic $p$-Branes

Abstract

We make Hamiltonian analyses of the new set of dual bosonic $p$-brane (including string) actions which contain high non-linearity. The difficulties exist in two basic steps of the Hamiltonian procedure, that is, in calculating canonical momenta and in solving velocities in terms of momenta. The former difficulty can be overcome by an ADM reparametrization of induced metrics, while the latter may be circumvented by some modification to the usual Hamiltonian procedure. We also compare our results with that of the other set composed of known dual $p$-brane actions.