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An Infrared Safe perturbative approach to Yang-Mills correlators

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arxiv 1105.2475 v2 pith:FW4BQEFK submitted 2011-05-12 hep-th hep-lathep-ph

Matthieu Tissier , Nicolas Wschebor This is my paper · ORCID
classification hep-thhep-lathep-ph
keywords theorycorrelationdimensiondimensionsfunctionslandaulatticeperturbative
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate the 2-point correlation functions of Yang-Mills theory in the Landau gauge by means of a massive extension of the Faddeev-Popov action. This model is based on some phenomenological arguments and constraints on the ultraviolet behavior of the theory. We show that the running coupling constant remains finite at all energy scales (no Landau pole) for $d>2$ and argue that the relevant parameter of perturbation theory is significantly smaller than 1 at all energies. Perturbative results at low orders are therefore expected to be satisfactory and we indeed find a very good agreement between 1-loop correlation functions and the lattice simulations, in 3 and 4 dimensions. Dimension 2 is shown to play the role of an upper critical dimension, which explains why the lattice predictions are qualitatively different from those in higher dimensions.

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Cited by 4 Pith papers

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