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A perturbative calculation of the correlator of three parallel open Wilsonlines is performed for the U(N) theory in two non-commutative space-timedimensions. In the large-N planar limit, the perturbative series is fullyresummed and asymptotically leads to an exponential increase of the correlatorwith the lengths of the lines, in spite of an interference effect between lineswith the same orientation. This result generalizes a similar increase occurringin the two-line correlator and is likely to persist when more lines areconsidered provided they share the same direction.Comment: 22 pages, 1 figure, typeset in JHEP styl

Two-dimensional non-commutative Yang-Mills theory: coherent effects in open Wilson line correlators