About the Casimir scaling hypothesis

2004/09/29 by Claude Semay, C. Semay · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #hep-ph

paper · pdf · doi:10.1140/epja/i2004-10097-5

published as Eur.Phys.J. A22 (2004) 353-354

arxiv created 2004/09/29 · openalex publication_date 2004/11/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

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.

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• Lattice QCD computation of the color fields for the static hybrid quark-gluon-antiquark system, and microscopic study of the Casimir scaling

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