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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 | 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. | Source: | arXiv, hep-th/0406099 | Other source: | [GID 157216] hep-th/0406099 | Services: | Forum | Review | PDF | Favorites |
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