About the Casimir scaling hypothesis
Groupe de Physique Nucléaire Théorique, Université de Mons-Hainaut, Académie universitaire Wallonie-Bruxelles, Place du Parc 20, B-7000, Mons, Belgium
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Accepted: 22 October 2004
Published online: 11 November 2004
A lattice calculation shows that the Casimir scaling hypothesis is well verified in QCD, that is to say that the potential between two opposite colour charges in a colour 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 colour charges, the string tension is proportional to value of the quadratic Casimir operator. Some considerations about the colour behaviour of the total interaction are given.
PACS: 12.39.Pn Potential models – / 12.39.Ba Bag model – / 12.38.Aw General properties of QCD (dynamics, confinement, etc.) –
© Società Italiana di Fisica and Springer-Verlag, 2004