2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/20334The minimal theory of spin of gapless quasiparticles coupled to fluctuating vortex defects in the phase of the d-wave superconducting order parameter at T=0 is studied. With the proliferation of the vortex loops the theory reduces to the previuosly studied QED3, with its concomitant spin-density-wave (chiral) instability. We find a single superconductor-insulator phase transition, which may be fluctuation induced first-order, at which vortices condense and the chiral symmetry for fermions dynamically breaks. We compute the spin-spin correlation function deep in the fluctuating superconducting state, and discuss some prominent trends in the neutron scattering data on underdoped cuprates in light of our results.4 pages, Revtex; superseded by a more detailed version, see cond-mat/0305512SuperconductivityStrongly Correlated ElectronsHigh Energy Physics - TheoryTheory of phase fluctuating d-wave superconductors and the spin response in underdoped cupratestext