Abstract
The Hamiltonian formulation of the anti-BRST transformation is given for an arbitrary gauge system with open gauge algebra. This is done by duplicating each first class constraint. One can then introduce a bidegree in the BRST formalism associated with this redundant description of the constraint surface, which has the following properties: (i) the BRST generator Ω T has bidegree (0, 1) + (1, 0); (ii) the piece of bidegree (1, 0) in Ω T is the BRST generator of the theory in which the constraints are not duplicated, with the standard non-minimal sector, and (iii) the piece of bidegree (0, 1) in Ω T is the anti-BRST generator. The most general gauge fixing which preserves both the BRST and anti-BRST symmetries is shown to be of the form [K, Ω T ] where K is chosen such that [K, Ω T ] is a sum of terms of bidegrees ( k, k).
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