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We propose a method to treat the three-gluon self-interaction vertex in theposition space in D = 4 - 2e dimensions. As an example, we calculate a two-loopcontribution to auxiliary Lcc vertex in the Landau gauge which contains thethree-gluon vertex for SU(N) Yang-Mills theory. We represent the integralexpression as a sum of separate contributions so that each of the contributionsis a double finite integral or single integral (singular or finite) in theposition space. In each double finite integral we use the freedom to shiftexponents in powers in the denominator of integrands by some multiples of e, inorder to perform at least one of the integrations by the uniqueness techniquewithout corrupting the first term of the decomposition in e.

Gluon self-interaction in the position space in Landau gauge