2007/10/31 by Gorazd Cvetic, GORAZD CVETIČ, Igor Kondrashuk +1 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1142/s0217751x08040500
published as Int.J.Mod.Phys.A23:4145-4204,2008 · 47 pages, 1 figure, minor corrections, Eq. for J_31 on page 11 is corrected, to appear in Int. J. of Mod. Phys. A
arxiv created 2008/09/15 · openalex publication_date 2008/10/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
We propose a method to treat the three-gluon self-interaction vertex in the position space in D = 4 - 2∊ dimensions. As an example, we calculate a two-loop contribution to auxiliary Lcc vertex in the Landau gauge which contains the three-gluon vertex for SU (N) Yang–Mills theory. We represent the integral expression as a sum of separate contributions so that each of the contributions is a double finite integral or single integral (singular or finite) in the position space. In each double finite integral, we use the freedom to shift exponents in powers in the denominator of integrands by some multiples of ∊, in order to perform at least one of the integrations by the uniqueness technique without corrupting the first term of the decomposition in ∊.