2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28993We 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 Néel 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.RevTex 4 pages, 2 epsf figures. Corrected errors and added referencesSuperconductivityStrongly Correlated ElectronsHigh Energy Physics - TheoryNovel antiferromagnetic quantum phase transition in underdoped cupratestext