Potential between adjoint sources in arbitrary representations

Darmohval, A. A.; Petrov, V. K.; Zinovjev, G. M.

Potential between adjoint sources in arbitrary representations

Authors

Darmohval, A. A.

Petrov, V. K.

Zinovjev, G. M.

Description

The potential between sources in arbitrary representations of the gauge group is studied on an anisotropic lattice in a spherical model approximation. It is shown analytically that for half-integer $j$ and $j'$ in the confinement phase the potential rises linearly, whereas for integer $j$ and half-integer $j'$ it rises infinitely which means a strong suppression of the combination of such states . For integer $j$ and $j'$ the potential shows Debay screening and Coulomb behavior in the deconfinement phase >. It is also shown, that $<χ^{(j)}> \backsim <χ>^{2j}$ when $<χ> \gtrsim1$ and is in agreement with the mean field theory prediction, and $<χ^{(j)}> \backsim <χ>$ for $<χ> \lesssim1$ which agrees with MC experiment. String tension model-computed for sources invariant under center group transformations demonstrates Casimir scaling in the intermediate distance regime and turns into zero at large distances.