Using the Frobenius method, we find high overtones of the Dirac quasinormal spectrum for the Schwarzschild black hole. At high overtones, the spacing for imaginary part of ${\omega }_n$ is equidistant and equals to $\mathrm{I}\mathrm{m}({\omega }_{n+1})-\mathrm{I}\mathrm{m}({\omega }_n)=i/8M$, $M$ being the black hole mass, which is twice less than that for fields of integer spin. At high overtones, the real part of ${\omega }_n$ goes to zero. This supports the suggestion that the expected correspondence between quasinormal modes and Barbero-Immirzi parameter in Loop Quantum Gravity is just a numerical coincidence.

• Received 4 November 2004

DOI:https://doi.org/10.1103/PhysRevD.71.047502