On the Multilevel Field--Antifield Formalism with the Most General Lagrangian Hypergauges

Abstract

The multilevel field-antifield formalism is constructed in a geometrically covariant way without imposing the unimodularity conditions on the hypergauge functions. Thus the previously given version [1,2] is extended to cover the most general case of Lagrangian surface bases. It is shown that the extra measure factors, required to enter the gauge-independent functional integrals, can be included naturally into the multilevel scheme by modifying the boundary conditions to the quantum master equation.

9, P.N.Lebedev Physical Institute, I.E.Tamm Theory Department

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