  We investigate the field tuned quantum phase transition in a 2D low-disorder
amorphous InO$_x$ film in the frequency range of 0.05 to 16 GHz employing
microwave spectroscopy. In the zero temperature limit, the AC data are
consistent with a scenario where this transition is from a superconductor to a
metal instead of a direct transition to an insulator. The intervening metallic
phase is unusual with a small but finite resistance that is much smaller than
the normal state sheet resistance at the lowest measured temperatures.
Moreover, it exhibits a superconducting response on short length and time
scales while global superconductivity is destroyed. We present evidence that
the true quantum critical point of this 2D superconductor metal transition is
located at a field $B_{sm}$ far below the conventionally defined critical field
$B_{cross}$ where different isotherms of magnetoresistance cross each other.
The superfluid stiffness in the low frequency limit and the superconducting
fluctuation frequency from opposite sides of the transition both vanish at B
$\approx B_{sm}$. The lack of evidence for finite-frequency superfluid
stiffness surviving $B_{cross}$ signifies that $B_{cross}$ is a crossover above
which superconducting fluctuations make a vanishing contribution to DC and AC
measurements.
