We investigate the effect of hole hopping on Neel order upon doping in the two-dimensional Hubbard model. The semiclassical staggered moment is computed in the doped region by solving saddle point equations based on a pathintegral formalism. Quantum fluctuations in the localized spin system are taken into account by the Schwinger boson mean field theory. We argue that hopping of doped holes is rather ineffective in suppressing Neel order compared to rapid suppression of Neel order in high-temperature superconductors. The quantum disordered phase is defined as the phase in which the non-zero semiclassical staggered moments are less than the critical value similar to0.20. In the strong coupling limit, the quantum disordered phase is described by a system of spinless fermions and bosons without gauge field interaction. (C) 2004 Elsevier B.V. All rights reserved.