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arXiv · 0907.3249

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

Kei-Ichi Kondo
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Abstract

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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Kei-Ichi Kondo. 2009-09-26. Infrared behavior of the ghost propagator in the Landau gauge Yang-Mills theory. https://doi.org/10.1143/ptp.122.1455

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