  We consider the asymptotic behaviour of the Chern-Simons Green's function of
the $\nu=1/\tilde{\phi}$ system for an infinite area in position-time
representation. We calculate explicitly the asymptotic form of the Green's
function of the interaction free Chern-Simons system for small times. The
calculated Green's function vanishes exponentially with the logarithm of the
area. Furthermore, we discuss the form of the divergence for all $\tau$ and
also for the Coulomb interacting Chern-Simons system. We compare the
asymptotics of the exact Chern-Simons Green's function with the asymptotics of
the Green's function in the Hartree-Fock as well as the random-phase
approximation (RPA). The asymptotics of Hartree-Fock the Green's function
corresponds well with the exact Green's function. In the case of the RPA
Green's function we do not get the correct asymptotics. At last, we calculate
the self consistent Hartree-Fock Green's function.
