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We introduce external sources J_A directly into the quantum master action W of the field-antifield formalism instead of the effective action. The external sources J_A lead to a set of BRST-invariant functions W^A that are in antisymplectic involution. As a byproduct, we encounter quasi--groups with open gauge algebras.
We introduce classical and quantum antifields in the reparametrization-invariant effective action, and derive a deformed classical master equation.
It is proven that the nilpotent $Delta$-operator in the field-antifield formalism can be constructed in terms of an antisymplectic structure only.
We consider the problem of covariant gauge-fixing in the most general setting of the field-antifield formalism, where the action W and the gauge-fixing part X enter symmetrically and both satisfy the Quantum Master Equation. Analogous to the gauge-ge
In the framework of $Sp(2)$ extended Lagrangian field-antifield BV formalism we study systematically the role of finite field-dependent BRST-BV transformations. We have proved that the Jacobian of a finite BRST-BV transformation is capable of generat
The nonlocal regularization method, recently proposed in ref.,ct{emkw91,kw92,kw93}, is extended to general gauge theories by reformulating it along the ideas of the antibracket-antifield formalism. From the interplay of both frameworks a fully regula