1998/08/25 by Norbert Duechting, Norbert Düchting, Sergei V. Shabanov +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Numerical methods for differential equations #Quantum Chromodynamics and Particle Interactions #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/s0550-3213(98)00727-5
published as Nucl.Phys. B538 (1999) 485-514 · 49 pages, 1 figure (included)
arxiv created 1998/08/25 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.