  Tunneling of electrons between two $\nu = 1/2$ quantum Hall parallel planes
is studied. In order to calculate the physical electron Green's function, the
Chern-Simons gauge field formalism is used, both in a perturbative many-body
calculation and in a semiclassical calculation. In contrast to recent
experiments, no gap in the physical electron density of states is found. A
conjecture is made that either perturbation theory about the mean field Fermi
liquid ground state is inadequate, or that disorder within the interplanar
barrier plays a role.
