1995/02/15 by Choon-Lin Ho
Mathematics · Physics and Astronomy · #Dirac (video compression format) #Geometry #Mathematics #Nonlinear Waves and Solitons #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Surface (topology) #dg-ga #hep-th #math.DG
paper · pdf · doi:10.1103/physrevd.51.1880
published as Phys.Rev.D51:1880-1885,1995 · 16 pages. Plain Tex
openalex publication_date 1995/02/15 · arxiv created 1996/10/30 · arxiv updated 2010/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.