Geometry of the BFV Theorem

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, LaTeX2e. Some signs corrected. To appear in J.Math.Phys

Scientific paper

10.1063/1.532405

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.

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