About the Casimir scaling hypothesis

Abstract

A lattice calculation shows that the Casimir scaling hypothesis is well verified in QCD, that is to say that the potential between two opposite color charges in a color singlet is proportional to the value of the quadratic Casimir operator. On the other hand, in a bag model calculation for the same system, a scaling of the string tension with the square root of the quadratic Casimir operator is obtained. It is shown that, within the same formalism but with the assumption that the width of the string is independent of the color charges, the string tension is proportional to value of the quadratic Casimir operator. Some considerations about the color behavior of the total interaction are given.

References in corpus (5)

• Observing Long Colour Flux Tubes in SU(2) Lattice Gauge Theory
• Casimir scaling of SU(3) static potentials
• Confining strings in SU(N) gauge theories
• Nonperturbative corrections to the quark self-energy
• Confining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering

Cited by in corpus (28)

• Towards the understanding of fully-heavy tetraquark states from various models
• Interpreting $Z_c(3900)$ and $Z_c(4025)/Z_c(4020)$ as charged tetraquark states
• On two- and three-body descriptions of hybrid mesons
• Gluons in glueballs: Spin or helicity?
• Baryonia and near-threshold enhancements
• Systematic study of $Z_c^{+}$ family from quark model's perspective
• Hidden charmed states and multibody color flux-tube dynamics
• Compact hidden charm pentaquark states and QCD isomers
• Heavy pentaquark states and a novel color structure
• Casimir scaling, glueballs and hybrid gluelumps
• Semirelativistic potential model for three-gluon glueballs
• Colour field flux tubes and Casimir scaling for various SU(3) representations
• Can the state $Y(4626)$ be a $P$-wave tetraquark state $[cs][\bar{c}\bar{s}]$?
• Color flux-tube nature of the states $T_{cs}(2900)$ and $T_{c\bar{s}}^a(2900)$
• Semirelativistic potential model for low-lying three-gluon glueballs
• Quantum chromodynamics quark benzene
• Lattice QCD computation of the colour fields for the static hybrid quark-gluon-antiquark system, and microscopic study of the Casimir scaling
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• The structure of the Yang-Mills spectrum for arbitrary simple gauge algebras
• Pentaquarks $uudd\bar{q}$ with One Color Sextet Diquark
• Dynamical study of the light scalar mesons below 1 GeV in a flux-tube model
• Many-quark interactions: Large-$N$ scaling and contribution to baryon masses
• Covariant oscillator quark model for glueballs and baryons
• Thermodynamics of the Quark-Gluon Plasma within a T-matrix approach
• Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis
• The SUSY Yang-Mills plasma in a $T$-matrix approach
• A quark core-gluon model for heavy hybrid baryons
• Casimir scaling in glueballs in SU($N$) and Sp($2N$) gauge theories: hints from constituent approaches