2009/07/31 by Kei-Ichi Kondo, K.-I. Kondo · 1 citation
Mathematics · Physics and Astronomy · #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1143/ptp.122.1455
published as Prog.Theor.Phys.122:1455-1475,2010 · 22 pages, 2 figures, minor changes: typo corrected. Appendix A, B added. Sect. 4.1 rewritten. References added
arxiv created 2009/09/26 · openalex publication_date 2009/12/01 · arxiv updated 2010/04/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We prove that the Faddeev-Popov ghost dressing function in the Yang-Mills theory is non-zero and finite in the limit of vanishing momenta and hence the ghost propagator behaves like free in the deep infrared regime, within the Gribov-Zwanziger framework of the D-dimensional SU(N) Yang-Mills theory in the Landau gauge for any D>2. This result implies that the Kugo-Ojima color confinement criterion is not satisfied in its original form. We point out that the result crucially depends on the explicit form of the non-local horizon term adopted. The original Gribov prediction in the Landau gauge should be reconsidered in connection with color confinement.