  We present a family of nonrelativistic Yang-Mills gauge theories in D+1
dimensions whose free-field limit exhibits quantum critical behavior with
gapless excitations and dynamical critical exponent z=2. The ground state
wavefunction is intimately related to the partition function of relativistic
Yang-Mills in D dimensions. The gauge couplings exhibit logarithmic scaling and
asymptotic freedom in the upper critical spacetime dimension, equal to 4+1. The
theories can be deformed in the infrared by a relevant operator that restores
Poincare invariance as an accidental symmetry. In the large-N limit, our
nonrelativistic gauge theories can be expected to have weakly curved gravity
duals.
