Sphere-like Solutions in Surface Functional Theory and Dirac's Membrane Model

Details Sphere-like Solutions in Surface Functional Theory and Dirac's Membrane Model Sphere-like Solutions in Surface Functional Theory and Dirac's Membrane Model

1996-10-30

arxiv.org/abs/hep-th/9610239v1

Phys.Rev.D51:1880-1885,1995

Physics

High Energy Physics

High Energy Physics - Theory

16 pages. Plain Tex

Scientific paper

10.1103/PhysRevD.51.1880

A surface functional theory for p-dimensional extended objects, the p-branes, was proposed in previous papers. The field 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.

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