  A perturbative calculation of the correlator of three parallel open Wilson
lines is performed for the U(N) theory in two non-commutative space-time
dimensions. In the large-N planar limit, the perturbative series is fully
resummed and asymptotically leads to an exponential increase of the correlator
with the lengths of the lines, in spite of an interference effect between lines
with the same orientation. This result generalizes a similar increase occurring
in the two-line correlator and is likely to persist when more lines are
considered provided they share the same direction.
