A surface functional theory for p-dimensional extended objects, the p-branes, has been proposed in previous papers. The field equations for toroidal p-branes were exactly solved in d=p+2 dimensions, yielding an equally spaced mass-squared spectrum with massless states. In this paper, we obtain the asymptotic distribution of the mass spectrum in the point-particle limit of the theory with spherelike membranes (p=2) in d=4 dimensions. The similarity between this spectrum and that obtained in Dirac’s membrane model of the electron is discussed.
Physical Review D (Particles and Fields) 51(4), pp.1880-1885