  We propose a scenario to understand the puzzling features of the recent
experiment by Kang and coworkers on tunneling between laterally coupled quantum
Hall liquids by modeling the system as a pair of coupled chiral Luttinger
liquid with a point contact tunneling center. We show that for filling factors
$\nu\sim1$ the effects of the Coulomb interactions move the system deep into
strong tunneling regime, by reducing the magnitude of the Luttinger parameter
$K$, leading to the appearance of a zero-bias differential conductance peak of
magnitude $G_t=Ke^2/h$ at zero temperature. The abrupt appearance of the zero
bias peak as the filling factor is increased past a value $ \nu^* \gtrsim 1$,
and its gradual disappearance thereafter can be understood as a crossover
controlled by the main energy scales of this system: the bias voltage $V$, the
crossover scale $T_K$, and the temperature $T$. The low height of the zero bias
peak $\sim 0.1e^2/h$ observed in the experiment, and its broad finite width,
can be understood naturally within this picture. Also, the abrupt reappearance
of the zero-bias peak for $\nu \gtrsim 2$ can be explained as an effect caused
by spin reversed electrons, \textit{i. e.} if the 2DEG is assumed to have a
small polarization near $\nu\sim2$. We also predict that as the temperature is
lowered $\nu^*$ should decrease, and the width of zero-bias peak should become
wider. This picture also predicts the existence of similar zero bias peak in
the spin tunneling conductance near for $\nu \gtrsim 2$.
