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We investigate the gluon transverse momentum dependent correlators as Fouriertransform of matrix elements of nonlocal operator combinations. At the operatorlevel these correlators include both field strength operators and gauge linksbridging the nonlocality. In contrast to the collinear PDFs, the gauge linksare no longer unique for transverse momentum dependent PDFs (TMDs) and alsoWilson loops lead to nontrivial effects. We look at gluon TMDs for unpolarized,vector and tensor polarized targets. In particular a single Wilson loopoperators become important when one considers the small-x limit of gluon TMDs.

Gluon transverse momentum dependent correlators in polarized high energy processes