2003
DOI: 10.1142/s0217751x03012187
|View full text |Cite
|
Sign up to set email alerts
|

Casimir Scaling and Models of Confinement in QCD

Abstract: Recent lattice calculations have demonstrated that the QCD static potential for sources in different representations of the gauge group is proportional to the eigenvalue of the corresponding quadratic Casimir operator with an accuracy of a few percent. We discuss the present theoretical status of this "Casimir scaling" phenomenon and stress its importance for the analysis of nonperturbative QCD vacuum models and other field theories. It is argued that Casimir scaling strongly advocates the property of Gaussian… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

2
12
0

Year Published

2004
2004
2015
2015

Publication Types

Select...
7
1

Relationship

1
7

Authors

Journals

citations
Cited by 21 publications
(14 citation statements)
references
References 59 publications
2
12
0
Order By: Relevance
“…The first part is done using the gauge invariant cumulant expansion of W (C) in terms of field correlators. As was shown in [3,4,7], for QCD the lowest term (quadratic) F (x)F (y) saturates W (C) with few percent accuracy, which is supported by the Casimir scaling measurements on the lattice both in the confined [8] and deconfined phase [9]. The same Casimir scaling helps to put a strong upper limit on the presence of topological charges or adjoint fluxes [7] as a possible source of confinement 1 .…”
Section: Introductionsupporting
confidence: 60%
See 2 more Smart Citations
“…The first part is done using the gauge invariant cumulant expansion of W (C) in terms of field correlators. As was shown in [3,4,7], for QCD the lowest term (quadratic) F (x)F (y) saturates W (C) with few percent accuracy, which is supported by the Casimir scaling measurements on the lattice both in the confined [8] and deconfined phase [9]. The same Casimir scaling helps to put a strong upper limit on the presence of topological charges or adjoint fluxes [7] as a possible source of confinement 1 .…”
Section: Introductionsupporting
confidence: 60%
“…As was shown in [3,4,7], for QCD the lowest term (quadratic) F (x)F (y) saturates W (C) with few percent accuracy, which is supported by the Casimir scaling measurements on the lattice both in the confined [8] and deconfined phase [9]. The same Casimir scaling helps to put a strong upper limit on the presence of topological charges or adjoint fluxes [7] as a possible source of confinement 1 . At the same time, Casimir scaling is well supported by the Gaussian quadratic term F (x)F (y) and the latter yields a beautiful picture of linear confinement in good agreement with all lattice measurements and hadron physics.…”
Section: Introductionsupporting
confidence: 60%
See 1 more Smart Citation
“…Indeed, extensive computations in lattice gauge theory support quark confinement and are able to describe quite in detail the behavior of the static quark potential. Recent studies [3,4,5,6,7] have shown, in particular, the presence of an intermediate region where the string tension of the linearly confining potential is proportional to the quadratic Casimir operator (of the color group); hence the name "Casimir scaling". However, as soon as the distance between the charges increases, at some point screening by gluons becomes energetically favored and Casimir scaling breaks down [6,8].…”
Section: Introductionmentioning
confidence: 99%
“…It is not easy at all to understand these effects in terms of vacuum fluctuations which dominate the QCD functional integral [9].…”
Section: Introduction: the Casimir Scaling Hypothesismentioning
confidence: 99%