Fermions and solitons in the O(3) nonlinear sigma model in 2+1 space-time dimensions.

The field theory lim it of antiferromagnetism with holes is described using the O(3) nonlinear sigma mode l. The m inimal coupling to the spin-wave gives a Pauli term that couples the hole charge density to the topological charge density for solitons. This term leads to drastic consequences; an attractive potential for holes and solitons, spin-charge coupling for the holes and zero-momentum modes. The zero-momentum modes are exact nonperturbative solutions to the full coupled equations of motion for spin-waves and holes. The effect of a Chern-Simons term, connections to other mean-field approaches and the quantum boundstate problem are discussed. If the zero-modes are the states of lowest energy, then the holes in this field theory lim it are attached to skyrmions. Submitted to Physical Review B. * Work supported by Department of Energy contract DE-AC03-76SF00515. o Now at University of Toronto, 60 St. George St., Toronto, Ontario, Canada M55 lA7.