Gonihedric String Equation
G. K. Savvidy, K. G. Savvidy

TL;DR
This paper explores the properties and continuum formulation of the gonihedric string, proposing a generalized Dirac equation with infinite-dimensional wave functions to describe its spectrum and string tension.
Contribution
It introduces a novel generalization of the Dirac equation with infinite-dimensional matrices to model the gonihedric string's properties.
Findings
Spectrum includes particles and antiparticles with increasing half-integer spins.
Explicit formulas for mass spectrum enable calculation of string tension.
Demonstrates the string-like nature of the theory.
Abstract
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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