BRST Formulation of Partition Function Constraints

Abstract

We show that constraints on the generating functional have direct BRST-extensions in terms of nilpotent operators $\hat{I}”$ that annihilate this generating functional, and which may be of arbitrarily high order. The free energy $F$ in the presence of external sources thus satisfies a ``Master Equation'' which is described in terms of a tower of higher antibrackets.

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