Magnon exchange between holes in a doped antiferromagnet provides a potential mechanism for the preformation of the Cooper pairs of high-temperature superconductivity. A systematic low-energy effective field theory for holes located inside pockets centered at lattice momenta (pi/2a,+/- pi/2a) is constructed and the corresponding one-magnon exchange potentials between pairs of holes are derived. The resulting two-hole Schroedinger equations leading to d-wave pairing are studied in detail. The existence of spiral phases is also investigated.