  In this paper, we show that the empirical measure of mean-field model
satisfies the large deviation principle with respect to the weak convergence
topology or the stronger Wasserstein metric, under the strong exponential
integrability condition on the negative part of the interaction potentials. In
contrast to the known results we prove this without any continuity or
boundedness condition on the interaction potentials. The proof relies mainly on
the law of large numbers and the exponential decoupling inequality of de la
Pena for U-statistics.
