  The Microcanonical Fermionic Average method has been used so far in the
context of lattice models with phase transitions at finite coupling. To test
its applicability to Asymptotically Free theories, we have implemented it in
QED$_2$, \it i.e.\rm the Schwinger Model. We exploit the possibility, intrinsic
to this method, of studying the whole $\beta, m$ plane at negligible computer
cost, to follow constant physics trajectories and measure the $m \to 0$ limit
of the chiral condensate. We recover the continuum result within 3 decimal
places.
