  A strong-coupling expansion for the antiferromagnetic phase of the Hubbard
model is derived in the framework of the slave-boson mean-field approximation.
The expansion can be obtained in terms of moments of the density of states of
freely hopping electrons on a lattice, which in turn are obtained for
hypercubic lattices in arbitrary dimension. The expansion is given for the case
of half-filling and for the energy up to fifth order in the ratio of hopping
integral $t$ over on-site interaction $U$, but can straightforwardly be
generalized to the non-half-filled case and be extended to higher orders in
$t/U$. For the energy the expansion is found to have an accuracy of better than
$1 \%$ for $U/t \geq 8$. A comparison is given with an earlier perturbation
expansion based on the Linear Spin Wave approximation and with a similar
expansion based on the Hartree-Fock approximation. The case of an infinite
number of spatial dimensions is discussed.
