Spherelike solutions in surface functional theory and Dirac's membrane model.

A surface functional theory for p-dimensional extended objects, the p-branes , was proposed in previous papers. The eld equations for toroidal p-branes was exactly solved in d = p+2 dimensions, yielding equally spaced mass-squared spectrum with massless states. In this paper, we obtain the asymptotic distribution of mass spectrum in the point-particle limit of the theory with sphere-like membranes (p = 2) in d = 4 dimensions. Similarity between this spectrum and that obtained in the Dirac's membrane model of electron is discussed.