D--term Inflation at the TeV Scale and Large Internal Dimensions

We show that D--term inflation at the TeV scale is possible in the presence of large internal dimensions. This requires very small couplings and masses which arise from the large size of the compact dimensions. We show that acceptable number of e-folds, magnitude and spectrum of density perturbations $\delta \rho/\rho$ and $\eta$ can be obtained in this scenario at the price of a reheating temperature which is too high. Demanding an acceptable $T_R$ results in very small density perturbations.