  We present a worldline description of topological non-abelian BF theory in
arbitrary space-time dimensions. It is shown that starting with a trivial
classical action defined on the worldline, the BRST cohomology has a natural
representation as the sum of the de Rham cohomology. Based on this observation,
we construct a second-quantized action of the BF theory. Interestingly enough,
this theory naturally gives us a minimal solution to the Batalin-Vilkovisky
master equation of the BF theory. Our formalism sheds some light not only on an
interplay between the Witten-type and the Schwarz-type topological quantum
field theories but also on the role of the Batalin-Vilkovisky antifields and
ghosts as geometrical and elementary objects.
