We calculate the screening and anti-screening contributions to the inter-qu
ark potential in 2 + 1 dimensions, which is relevant to the high temperatur
e limit of QCD. We demonstrate that the relative strength of screening to a
nti-screening agrees with the 3 + 1 dimensional theory to better than one p
ercent accuracy. (C) 2000 Elsevier Science B.V. All rights reserved.