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High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
Abstract:
Starting with a Nambu-Goto action, a Dirac-like equation can be constructed
by taking the square-root of the momentum constraint. The eigenvalues of the
resulting Hamiltonian are real and correspond to masses of the excited string.
In particular there are no tachyons. A special case of radial oscillations of a
closed string in Minkowski space-time admits exact solutions in terms of wave
functions of the harmonic oscillator.