Publications at the Riemann Center
On the Gribov problem in Yang-Mills theory
Abstract
I briefly review the Gribov ambiguity of Yang-Mills theory, some of its features and attempts to control it, in particular the Gribov-Zwanziger proposal to restrict the functional integration in the Landau gauge to the Gribov region. This proposal is extended to an arbitrary gauge in such a way as to guarantee BRST invariance. The key insight is that any gauge change in the generating functional can be effected by a suitable field-dependent BRST transformation. I derive a simple analytic formula for the Jacobian of such a transformation, which yields an explicit recipe for the required transformation-parameter functional and allows for the computation of the Gribov horizon functional in any gauge, as I illustrate for the class of Rξ gauges.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Physics of Particles and Nuclei Letters
- Volume
- 11
- Pages
- 830-835
- No. of pages
- 6
- ISSN
- 1547-4771
- Publication date
- 2014
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Radiation, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Radiology Nuclear Medicine and imaging
- Electronic version(s)
-
https://doi.org/10.1134/S1547477114070309 (Access:
Unknown
)
