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arXiv · 0803.2161

On the IR behaviour of the Landau-gauge ghost propagator

Ph. Boucaud·J. P. Leroy·A. Le Yaouanc·J. Micheli·O. Pène·J. Rodríguez-Quintero
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Abstract

We examine analytically the ghost propagator Dyson-Schwinger Equation (DSE) in the deep IR regime and prove that a finite ghost dressing function at vanishing momentum is an alternative solution (solution II) to the usually assumed divergent one (solution I). We furthermore find that the Slavnov-Taylor identities discriminate between these two classes of solutions and strongly support the solution II. The latter turns out to be also preferred by lattice simulations within numerical uncertainties.

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Ph. Boucaud, J. P. Leroy, A. Le Yaouanc, J. Micheli, O. Pène, J. Rodríguez-Quintero. 2008-03-14. On the IR behaviour of the Landau-gauge ghost propagator. https://doi.org/10.1088/1126-6708%2F2008%2F06%2F099

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