Publications at the Riemann Center

On the Gribov problem in Yang-Mills theory

authored by
Olaf Lechtenfeld
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.

Organisation(s)
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
Type
Artikel
Journal
Physics of Particles and Nuclei Letters
Volume
11
Pages
830-835
No. of pages
6
ISSN
1547-4771
Publication date
2014
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Strahlung, Atom- und Molekularphysik sowie Optik, Kern- und Hochenergiephysik, Radiologie, Nuklearmedizin und Bildgebung
Electronic version(s)
https://doi.org/10.1134/S1547477114070309 (Access: Unbekannt)