RT Journal Article
T1 On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
A1 Rodríguez Quintero, José
AB We study the low-momentum behaviour of Yang-Mills propagators obtainedfrom Landau-gauge Dyson-Schwinger equations (DSE) in the PT-BFM scheme. We comparethe ghost propagator numerical results with the analytical ones obtained by analyzingthe low-momentum behaviour of the ghost propagator DSE in Landau gauge, assuming forthe truncation a constant ghost-gluon vertex and a simple model for a massive gluon propagator.The asymptotic expression obtained for the regular or decoupling ghost dressingfunction up to the order O(q2) is proven to fit pretty well the numerical PT-BFM results.Furthermore, when the size of the coupling renormalized at some scale approaches somecritical value, the numerical PT-BFM propagators tend to behave as the scaling ones. Wealso show that the scaling solution, implying a diverging ghost dressing function, cannotbe a DSE solution in the PT-BFM scheme but an unattainable limiting case.
PB Springer Verlag
SN 1029-8479
YR 2011
FD 2011
LK http://hdl.handle.net/10272/10494
UL http://hdl.handle.net/10272/10494
LA eng
NO Rodríquez Quintero, J.: "On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions". Journal of High Energy Physics. Vol. 2011, n. 1, (2014). ISSN 1029-8479
NO The author is particularly indebted to Ph. Boucaud, J.P Leroy, A. Le Yaouanc, J. Micheli and O. Pene for very fruitful discussions at the initial stages of the work and to J. Papavassiliou and A. C. Aguilar also for very valuable discussions and comments, and specially for providing me with some unpublished results which were exploited in this paper. J. R-Q also acknowledges the Spanish MICINN for the support by the research project FPA2009-10773 and "Junta de Andalucia" by P07FQM02962.
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026