``GLUELUMP'' SPECTRUM AND ADJOINT SOURCE POTENTIAL IN LATTICE QCD3_3

preprint1995arXivOpen access

Abstract

We calculate the potential between ``quarks'' which are in the adjoint representation of SU(2) color in the three-dimensional lattice theory. We work in the scaling region of the theory and at large quark separations RR. We also calculate the masses MQgM_{Qg} of color-singlet bound states formed by coupling an adjoint quark to adjoint glue (``gluelumps''). Good scaling behavior is found for the masses of both magnetic (angular momentum J=0J=0) and electric (J=1J=1) gluelumps, and the magnetic gluelump is found to be the lowest-lying state. It is naively expected that the potential for adjoint quarks should saturate above a separation RscrR_{\rm scr} where it becomes energetically favorable to produce a pair of gluelumps. We obtain a good estimate of the naive screening distance RscrR_{\rm scr}. However we find little evidence of saturation in the potential out to separations RR of about twice RscrR_{\rm scr}.

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