@Article{Aguilar_etal2015,
author="Aguilar, A. C.
and Binosi, D.
and Papavassiliou, J.",
title="Yang-Mills two-point functions in linear covariant gauges",
journal="Physical Review D",
year="2015",
publisher="Amer Physical Soc",
volume="91",
number="8",
pages="085014--14pp",
abstract="In this paper we use two different but complementary approaches in order to study the ghost propagator of a pure SU(3) Yang-Mills theory quantized in the linear covariant gauges, focusing on its dependence on the gauge-fixing parameter xi in the deep infrared. In particular, we first solve the Schwinger-Dyson equation that governs the dynamics of the ghost propagator, using a set of simplifying approximations, and under the crucial assumption that the gluon propagators for xi > 0 are infrared finite, as is the case in the Landau gauge (xi = 0). Then we appeal to the Nielsen identities, and express the derivative of the ghost propagator with respect to xi in terms of certain auxiliary Green{\textquoteright}s functions, which are subsequently computed under the same assumptions as before. Within both formalisms we find that for xi > 0 the ghost dressing function approaches zero in the deep infrared, in sharp contrast to what happens in the Landau gauge, where it is known to saturate at a finite (nonvanishing) value. The Nielsen identities are then extended to the case of the gluon propagator, and the xi-dependence of the corresponding gluon masses is derived using as input the results obtained in the previous steps. The result turns out to be logarithmically divergent in the deep infrared; the compatibility of this behavior with the basic assumption of a finite gluon propagator is discussed, and a specific Ansatz is put forth, which readily reconciles both features.",
optnote="WOS:000352471500006",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2189), last updated on Thu, 07 May 2015 15:37:11 +0000",
issn="1550-7998",
doi="10.1103/PhysRevD.91.085014",
opturl="http://arxiv.org/abs/1501.07150",
opturl="https://doi.org/10.1103/PhysRevD.91.085014",
archivePrefix="arXiv",
eprint="1501.07150",
language="English"
}