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Journal Article

Dirac equation for strings

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Trzetrzelewski,  Maciej
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1302.5907.pdf
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Citation

Trzetrzelewski, M. (2016). Dirac equation for strings. Europhysics Letters, 116(4): 40001. doi:10.1209/0295-5075/116/40001.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002C-92EF-3
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.