Gonihedric String Equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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40 pages, Latex, 9 figures

Scientific paper

10.1088/1126-6708/1998/04/008

We discuss the basic properties of the gonihedric string and the problem of its formulation in continuum. We propose a generalization of the Dirac equation and of the corresponding gamma matrices in order to describe the gonihedric string. The wave function and the Dirac matrices are infinite-dimensional. The spectrum of the theory consists of particles and antiparticles of increasing half-integer spin lying on quasilinear trajectories of different slope. Explicit formulas for the mass spectrum allow to compute the string tension and thus demonstrate the string character of the theory.

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