Using a covariant method to regularize the composite operators, we obtain the
bosonized action of the massive Schwinger model on a classical curved
background. Using the solution of the bosonic effective action, the energy of
two static external charges with finite and large distance separation on a
static curved space-time is obtained. The confining behavior of this model is
also explicitly discussed.Comment: A disscussion about the infrared regularization and also two
references are added. Accepted for publication in Phys. Rev. D (2001