The variation of single-particle spectral functions with doping is studied
numerically within the t-J model. Results suggest that the corresponding se
lf-energies change from local ones at the intermediate doping to strongly n
onlocal ones for a weakly doped antiferromagnet. The nonlocality shows up m
ost clearly in the pseudogap emerging in the density of states, due to the
onset of short-range antiferromagnetic correlations. [S0163-1829(99)05925-1
].