BRST QUANTIZATION OF NULL SPINNING p-BRANES

Abstract

Using the Batalin-Fradkin-Vilkovisky formalism, we quantize a null spinning p-brane. We observe that the theory is a system of rank 1. We present an explicit expression for the propagator and we conclude that using Weyl ordering for the operators the null spinning p-brane has no critical dimensions. We also discuss how this results can be modified changing the ordering operators prescription. Finally we argue that the functional diffusion equation for the null bosonic p-brane remains valid in the null spinning p-brane case.