Year: 1995
Type: preprint
Abstract: After a brief historical comment on the study of BRS(or BRST) symmetry , we discuss the quantization of gauge theories with Gribov copies. A path integral with BRST symmetry can be formulated by summing the Gribov-type copies in a very specific way if the functional correspondence between $τ$ and the gauge parameter $ω$ defined by $τ(x) = f( A_μ^ω(x))$ is ``globally single valued'', where $f( A_μ^ω(x)) = 0 $ specifies the gauge condition. As an example of the theory which satisfies this criterion, we comment on a soluble gauge model with Gribov-type copies recently analyzed by Friedberg, Lee, Pang and Ren. We also comment on a possible connection of the dynamical instability of BRST symmetry with the Gribov problem on the basis of an index notion.
Source: arXiv (Cornell University)
Author: Fujikawa, Kazuo
Institution: The University of Tokyo
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1949577751