  We investigate a zero-temperature itinerant antiferromagnetic transition
where the fermions possess a d-wave gap. This problem pertains to both the
nodal liquid insulating phase and the d-wave superconducting phase of the
underdoped cuprates. We find that a non-trivial quantum phase transition
exists, and that the quantum critical point is dominated by a long-ranged
interaction ($|x-y|^{-2d}$) of the N\'{e}el order parameter, which is induced
by the Dirac-like fermions near gap nodes. We formulate a Ginzburg-Landau
functional and estimate the critical exponents via the large-N expansion
method.
