On the WKB quantum equivalence between diverse p-brane actions

We consider an action for a closed, bosonic, p-brane, where the brane tensi on is not an assigned parameter but rather is induced by a maximal rank gau ge p-form. This model is classically equivalent to the Nambu-Goto/Howe-Tuck er model. We investigate how this classical equivalence can be implemented in the path integral framework. For this purpose we adopt a 'first-order' i ntegration procedure over gauge p-forms and a 'shortened' Fadeev-Popov proc edure.