Non-Perturbative Approach to the Landau Gauge Gluodynamics - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2006

Non-Perturbative Approach to the Landau Gauge Gluodynamics

Résumé

We discuss a non-perturbative lattice calculation of the ghost and gluon propagators in the pure Yang-Mills theory in Landau gauge. The ultraviolet behaviour is checked up to NNNLO yielding the value $\Lambda^{n_f=0}_{\ms}=269(5)^{+12}_{-9}\text{MeV}$, and we show that lattice Green functions satisfy the complete Schwinger-Dyson equation for the ghost propagator for all considered momenta. The study of the above propagators at small momenta showed that the infrared divergence of the ghost propagator is enhanced, whereas the gluon propagator seem to remain finite and non-zero. The result for the ghost propagator is consistent with the analysis of the Slavnov-Taylor identity, whereas, according to this analysis, the gluon propagator should diverge in the infrared, a result at odds with other approaches.

Dates et versions

hal-00016632 , version 1 (09-01-2006)

Identifiants

Citer

A. Y. Lokhov, Ph. Boucaud, J. P. Leroy, A. Le Yaouanc, J. Micheli, et al.. Non-Perturbative Approach to the Landau Gauge Gluodynamics. 2006. ⟨hal-00016632⟩
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