Volume 116, Number 4, November 2016
|Number of page(s)||5|
|Published online||22 December 2016|
Dirac equation for strings
M. Smoluchowski Institute of Physics, Jagiellonian University - Łojasiewicza St. 11, 30-348 Kraków, Poland and Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut - Mühlenberg 1, D-14476 Potsdam, Germany
Received: 17 November 2016
Accepted: 13 December 2016
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.
PACS: 03.65.Pm – Relativistic wave equations / 11.25.-w – Strings and branes
© EPLA, 2016
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