On the WKB quantum equivalence between diverse p-brane actions

TL;DR

This paper explores a novel p-brane action where tension is generated by a gauge p-form, demonstrating its classical equivalence to traditional models and analyzing how this equivalence extends into the quantum path integral formulation.

Contribution

It introduces a new p-brane action with tension induced by a gauge p-form and investigates its quantum equivalence to standard models using path integral methods.

Findings

Classical equivalence between the new and traditional p-brane actions.

Implementation of this equivalence in the path integral framework.

Use of a first order integration and shortened Fadeev-Popov procedure.

Abstract

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