  In this work, quasinormal modes (QNMs) of the Schwarzschild black hole are
investigated by taking into account the quantum fluctuations. Gravitational and
Dirac perturbations were considered for this case. The Regge-Wheeler gauge and
the Dirac equation were used to derive the perturbation equations of the
gravitational and Dirac fields respectively and the third order
Wentzel-Kramers-Brillouin (WKB) approximation method is used for the computing
of the quasinormal frequencies. The results show that due to the quantum
fluctuations in the background of the Schwarzschild black hole, the QNMs of the
black hole damp more slowly when increasing the quantum correction factor (a),
and oscillate more slowly.
