Details
| Original language | English |
|---|---|
| Pages (from-to) | 830-835 |
| Number of pages | 6 |
| Journal | Physics of Particles and Nuclei Letters |
| Volume | 11 |
| Issue number | 7 |
| Publication status | Published - 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 subject areas
- Physics and Astronomy(all)
- Radiation
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Medicine(all)
- Radiology Nuclear Medicine and imaging
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In: Physics of Particles and Nuclei Letters, Vol. 11, No. 7, 2014, p. 830-835.
Research output: Contribution to journal › Article › Research › 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 -