Geometry of the BFV Theorem
arXiv:hep-th/9709003 · doi:10.1063/1.532405
Abstract
We describe gauge-fixing at the level of virtual paths in the path integral as a non-symplectic BRST-type of flow on the path phase space. As a consequence a gauge-fixed, non-local symplectic structure arises. Restoring of locality is discussed. A pertinent anti-Lie-bracket and an infinite dimensional group of gauge fermions are introduced. Generalizations to Sp(2)-symmetric BLT-theories are made.
16 pages, LaTeX2e. Some signs corrected. To appear in J.Math.Phys