Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 830-835 |
| Seitenumfang | 6 |
| Fachzeitschrift | Physics of Particles and Nuclei Letters |
| Jahrgang | 11 |
| Ausgabenummer | 7 |
| Publikationsstatus | Veröffentlicht - 2014 |
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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Strahlung
- Physik und Astronomie (insg.)
- Atom- und Molekularphysik sowie Optik
- Physik und Astronomie (insg.)
- Kern- und Hochenergiephysik
- Medizin (insg.)
- Radiologie, Nuklearmedizin und Bildgebung
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in: Physics of Particles and Nuclei Letters, Jahrgang 11, Nr. 7, 2014, S. 830-835.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On the Gribov problem in Yang-Mills theory
AU - Lechtenfeld, Olaf
N1 - Publisher Copyright: © 2014, Pleiades Publishing, Ltd. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84920372482&partnerID=8YFLogxK
U2 - 10.1134/S1547477114070309
DO - 10.1134/S1547477114070309
M3 - Article
AN - SCOPUS:84920372482
VL - 11
SP - 830
EP - 835
JO - Physics of Particles and Nuclei Letters
JF - Physics of Particles and Nuclei Letters
SN - 1547-4771
IS - 7
ER -