Dirac equation for strings
High Energy Physics - Theory
2018-02-16 v3 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.
Cite
@article{arxiv.1302.5907,
title = {Dirac equation for strings},
author = {Maciej Trzetrzelewski},
journal= {arXiv preprint arXiv:1302.5907},
year = {2018}
}
Comments
12 pages, v3 published