ON POSSIBLE GENERALIZATIONS OF FIELD-ANTIFIELD FORMALISM

A generalized version is proposed for the field-antifield formalism. T he antibracket operation is defined in arbitrary field-antifield coord inates. The antisymmetric definitions are given for first- and second- class constraints. In the case of second-class constraints the Dirac's antibracket operation is defined. The quantum master equation as well as the hypergauge fixing procedure are formulated in a coordinate-inv ariant way. The general hypergauge functions are shown to be antisymme tric first-class constraints whose Jacobian matrix determinant is cons tant on the constraint surface. The BRST-type generalized transformati ons are defined and the functional integral is shown to be independent of the hypergauge variations admitted. In the case of reduced phase s pace the Dirac's antibrackets are used instead of the ordinary ones.