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).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.