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25 April 2024
 
  » arxiv » hep-th/0406099

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Revisiting the Fradkin-Vilkovisky Theorem
J. Govaerts ; F. G. Scholtz ;
Date 11 Jun 2004
Journal J.Phys. A37 (2004) 7359-7380
Subject hep-th quant-ph
AbstractThe 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.
Source arXiv, hep-th/0406099
Other source [GID 157216] hep-th/0406099
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