  This article is devoted to a study of flat orbifold vector bundles. We
construct a bijection between the isomorphic classes of proper flat orbifold
vector bundles and the equivalence classes of representations of the orbifold
fundamental groups of base orbifolds.
  We establish a Bismut-Zhang like anomaly formula for the Ray-Singer metric on
the determine line of the cohomology of a compact orbifold with coefficients in
an orbifold flat vector bundle.
  We show that the analytic torsion of an acyclic unitary flat orbifold vector
bundle is equal to the value at zero of a dynamical zeta function when the
underlying orbifold is a compact locally symmetric space of the reductive type,
which extends one of the results obtained by the first author for compact
locally symmetric manifolds.
