Infrared behavior of the ghost propagator in the Landau gauge Yang-Mills theory

Details Infrared behavior of the ghost propagator in the Landau gauge Yang-Mills theory Infrared behavior of the ghost propagator in the Landau gauge Yang-Mills theory

2009-07-18

arxiv.org/abs/0907.3249v2

Prog.Theor.Phys.122:1455-1475,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 2 figures, minor changes: typo corrected. Appendix A, B added. Sect. 4.1 rewritten. References added

Scientific paper

10.1143/PTP.122.1455

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.

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