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• W1888991777 abstract "This PhD dissertation is devoted to a non-perturbative study of QCD correlators. The main tool that we use is lattice QCD. Lattice QCD has been successfully used in phenomenology, but it can also be used to study the fundamental parameters (like the coupling constant) and properties of the theory itself. This is the main goal of the present dissertation. We concentrated our efforts on the study of the main correlators of the pure Yang - Mills theory in the Landau gauge, namely the ghost and the gluon propagators. We are particularly interested in determining the LQCD parameter -the fundamental scale of the pure Yang-Mills theory. It is extracted by means of perturbative predictions available up to NNNLO. The related topic is the influence of non-perturbative effects that show up as appearance of power-corrections to the low-momentum behaviour of the Green functions. We shall see that these corrections are quite important up to energies of the order of 10 GeV. A new method of removing these power corrections allows a better estimate of LQCD. Our result is Lambda_nf_MSbar = 269(5)+12−9 MeV. Another question that we address is the infrared behaviour of Green functions, at momenta of order and below LQCD. At low energy the momentum dependence of the propagators changes considerably, and this is probably related to confinement. We try to clarify the laws that govern the infrared gluodynamics in order to understand the radical nature of the changes in the infrared behaviour. Many questions arise: the Gribov ambiguity, the impact of different non-perturbative relations at low momenta, self-consistency of the lattice approach in this domain. The lattice approach allows to check the predictions of analytical methods because it gives access to non-perturbative correlators. According to our analysis the gluon propagator is finite and non-zero at vanishing momentum, and the power-law behaviour of the ghost propagator is the same as in the free case." @default.
• W1888991777 created "2016-06-24" @default.
• W1888991777 creator A5012877380 @default.
• W1888991777 date "2006-06-08" @default.
• W1888991777 modified "2023-09-27" @default.
• W1888991777 title "Non-perturbative study of QCD correlators" @default.
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