A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations

By A. C. Aguilar, A. Natale. 2004

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We study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution while the ghost propagator develops an enhanced behavior in the infrared regime of QCD. Simple analytical expressions are proposed for the propagators, and the mass dependency on the ΛQCD scale and its perturbative scaling are studied. We discuss the implications of our results for the infrared behavior of the coupling constant, which, according to fits for the propagators infrared behavior, seems to indicate that αs(q2)→0 as q2→0.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bd180084e03ab0e99ade06e5d8f352e26c927431

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices (2007, background): “One should of course recall that there are different solutions o f Dyson-Schwinger equations for gluons and ghosts in Landau gauge [36, 37].”
The QCD running coupling (2016, methodology): “The value of Q0 is consistent with that found by Gomez and Natale [404].”
The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, methodology): “[185] implemented some ansätze based on Slavnov-Taylor identities for the involved full vertices, applied a particular angular approximation when integrating the ghost self-energy and thus obtained a “massive” gluon propagator (αG = 1), although they claimed this to be compatible with an enhanced gh”
Nonperturbative properties of Yang–Mills theories (2018, unknown): “[81, 356].”