Geometry of the Batalin–Fradkin–Vilkovisky theorem

We describe gauge fixing at the level of virtual paths in the path integral as a nonsymplectic BRST-type of flow on the path phase space. As a consequence, a gauge-fixed, nonlocal symplectic structure arises. Restoring of locality is discussed. A pertinent anti-Lie-bracket and an infinite dimensiona...

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Bibliographic Details
Published in:Journal of mathematical physics 1998-05, Vol.39 (5), p.2507-2519
Main Author: Bering, K.
Format: Article
Language:English
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Summary:We describe gauge fixing at the level of virtual paths in the path integral as a nonsymplectic BRST-type of flow on the path phase space. As a consequence, a gauge-fixed, nonlocal 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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532405