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arXiv · hep-th/0406099

Revisiting the Fradkin-Vilkovisky Theorem

J. Govaerts·F. G. Scholtz
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Abstract

The status of the usual statement of the Fradkin-Vilkovisky theorem, claiming complete independence of the Batalin-Fradkin-Vilkovisky path integral on the gauge fixing "fermion" even within a nonperturbative context, is critically reassessed. Basic, but subtle reasons why this statement cannot apply as such in a nonperturbative quantisation of gauge invariant theories are clearly identified. A criterion for admissibility within a general class of gauge fixing conditions is provided for a large ensemble of simple gauge invariant systems. This criterion confirms the conclusions of previous counter-examples to the usual statement of the Fradkin-Vilkovisky theorem.

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J. Govaerts, F. G. Scholtz. 2004-06-11. Revisiting the Fradkin-Vilkovisky Theorem. https://doi.org/10.1088/0305-4470%2F37%2F29%2F011

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