A GENERAL-SOLUTION OF THE MASTER EQUATION FOR A CLASS OF 1ST-ORDER SYSTEMS

Inspired by the formulation of the Batalin-Vilkovisky method of quanti zation in terms of ''odd time,'' we show that for a class of gauge the ories which are first order in the derivatives, the kinetic term is bi linear in the fields, and the interaction part satisfies some properti es, it is possible to give the solution of the master equation in a ve ry simple way. To clarify the general procedure we discuss its applica tion to Yang-Mills theory, massive (Abelian) theory in the Stueckelber g formalism, relativistic particle and to the self-interacting antisym metric tensor field.