Revisiting the Fradkin-Vilkovisky theorem

Govaerts, Jan;Scholtz, Frederik G.

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(en) 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. Comment: 21 pages, no figures, to appear in Jnl. Phys. A
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Revisiting the Fradkin-Vilkovisky theorem. (n.d.). https://hdl.handle.net/2078.5/256736