Abstract

A range of properties of pure SU (3) gauge theory are studied numerically on euclidean lattices of 32 4 points at β values of 6.29, 6.585 and 6.88. Potentials between static pairs of colour charges in the triplet, octet and sextet representations are calculated. The lowest energy (the A 1g) gluonic modes are considered for each of these plus the E u mode for the triplet case. In the calculations, the use of extended operators on the lattice is examined. The results are assessed for scaling but do not agree adequately with asymptotic behaviour based on the two-loop β-function.

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