RT Journal Article
T1 IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
A1 Boucaud, Ph.
A1 Leroy, J. P.
A1 Le Yaouanc, Alain
A1 Micheli, J.
A1 Pène, O.
A1 Rodríguez Quintero, José
AB We solve numerically the Schwinger-Dyson ghost equation in the Landau gaugefor a given, finite at k = 0 gluon propagator (i.e. the infrared exponent of its dressingfunction, αgluon, is 1) and under the usual assumption of constancy of the ghost-gluonvertex ; we show that there exist two possible types of ghost dressing function solutions,as we have previously inferred from analytical considerations: one which is singular at zeromomentum (the infrared exponent of its dressing function, αghost,† is < 0), satisfies thefamiliar relation αgluon + 2αghost = 0 and has therefore αghost = −1/2, and another onewhich is finite at the origin with αghost = 0 and violates the relation. It is most importantthat the type of solution which is realized depends on the value of the coupling constant.There are regular ones — αF = 0 — for any coupling below some value, while there is onlyone singular solution — αF < 0 —, obtained for a single critical value of the coupling. Forall momenta k < 1.5GeV where they can be trusted, our lattice data exclude neatly thesingular one, and agree very well with the regular solution we obtain at a coupling constantcompatible with the bare lattice value.
PB Springer Verlag
SN 1126-6708
YR 2008
FD 2008-06
LK http://hdl.handle.net/10272/18415
UL http://hdl.handle.net/10272/18415
LA eng
NO Boucaud, P., Leroy, J. ., Yaouanc, A. L., Micheli, J., Pène, O., & Rodríguez Quintero, J. (2008). IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation. Journal of High Energy Physics, 2008(6), 012–012. DOI: https://doi.org/10.1088/1126-6708/2008/06/012
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026