TL;DR
This paper explores methods to incorporate multiple gauge fixing conditions into the Feynman path integral framework, extending traditional procedures to more complex gauge theories like 1+1 dimensional Einstein-Hilbert and spin-3/2 actions.
Contribution
It extends the Faddeev-Popov and BV gauge fixing procedures to handle multiple gauge conditions in complex gauge theories.
Findings
Extended Faddeev-Popov procedure for multiple gauges
Applied methods to Einstein-Hilbert and spin-3/2 actions
Demonstrated consistency of extended gauge fixing approaches
Abstract
We consider how more than one gauge fixing condition can be accommodated within the Feynman path integral both by extending the Faddeev-Popov procedure and the BV approach. The first order Einstein-Hilbert action in 1 + 1 dimensions and the massless spin- 3/2 action are considered.
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