  Vortex mass in Fermi superfluids and superconductors and its influence on
quantum tunneling of vortices are discussed. The vortex mass is essentially
enhanced due to the fermion zero modes in the core of the vortex: the bound
states of the Bogoliubov qiasiparticles localized in the core. These bound
states form the normal component which is nonzero even in the low temperature
limit. In the collisionless regime $\omega_0\tau \gg 1$, the normal component
trapped by the vortex is unbound from the normal component in the bulk
superfluid/superconductors and adds to the inertial mass of the moving vortex.
In the d-wave superconductors, the vortex mass has an additional factor
$(B_{c2}/B)^{1/2}$ due to the gap nodes.
