The Kalb-Ramond action, derived for interacting strings through an act
ion-at-a-distance force, is generalized to the case of interacting p-d
imensional objects (p-branes) in D-dimensional space-time. The open p-
brane version of the theory is especially taken up. On account of the
existence of their boundary surface, the fields mediating interactions
between open p-branes are obtained as massive gauge fields, quite in
contrast to massless gauge ones for closed p-branes.