BRST Inner Product Spaces and the Gribov Obstruction
Duechting, Norbert ; Shabanov, Sergei V. ; Strobl, Thomas
arXiv, 9808151 / Harvested from arXiv
Text on arXiv
A global extension of the Batalin-Marnelius proposal for a BRST inner product to gauge theories with topologically nontrivial gauge orbits is discussed. It is shown that their (appropriately adapted) method is applicable to a large class of mechanical models with a semisimple gauge group in the adjoint and fundamental representation. This includes cases where the Faddeev-Popov method fails. Simple models are found also, however, which do not allow for a well-defined global extension of the Batalin-Marnelius inner product due to a Gribov obstruction. Reasons for the partial success and failure are worked out and possible ways to circumvent the problem are briefly discussed.
Publié le : 1998-08-25
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Quantum Physics 
@article{9808151,
     author = {Duechting, Norbert and Shabanov, Sergei V. and Strobl, Thomas},
     title = {BRST Inner Product Spaces and the Gribov Obstruction},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9808151}
}

Duechting, Norbert; Shabanov, Sergei V.; Strobl, Thomas. BRST Inner Product Spaces and the Gribov Obstruction. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9808151/