@Article{Ibanez+Papavassiliou2013,
author="Iba{\~{n}}ez, D.
and Papavassiliou, J.",
title="Gluon mass generation in the massless bound-state formalism",
journal="Physical Review D",
year="2013",
publisher="Amer Physical Soc",
volume="87",
number="3",
pages="034008--25pp",
abstract="We present a detailed, all-order study of gluon mass generation within the massless bound-state formalism, which constitutes the general framework for the systematic implementation of the Schwinger mechanism in non-Abelian gauge theories. The main ingredient of this formalism is the dynamical formation of bound states with vanishing mass, which give rise to effective vertices containing massless poles; these latter vertices, in turn, trigger the Schwinger mechanism, and allow for the gauge-invariant generation of an effective gluon mass. This particular approach has the conceptual advantage of relating the gluon mass directly to quantities that are intrinsic to the bound-state formation itself, such as the {\textquoteleft}{\textquoteleft}transition amplitude{\textquoteright}{\textquoteright} and the corresponding {\textquoteright}{\textquoteright}bound-state wave function.{\textquoteright}{\textquoteright} As a result, the dynamical evolution of the gluon mass is largely determined by a Bethe-Salpeter equation that controls the dynamics of the relevant wave function, rather than the Schwinger-Dyson equation of the gluon propagator, as happens in the standard treatment. The precise structure and field-theoretic properties of the transition amplitude are scrutinized in a variety of independent ways. In particular, a parallel study within the linear-covariant (Landau) gauge and the background-field method reveals that a powerful identity, known to be valid at the level of conventional Green{\textquoteright}s functions, also relates the background and quantum transition amplitudes. Despite the differences in the ingredients and terminology employed, the massless bound-state formalism is absolutely equivalent to the standard approach based on Schwinger-Dyson equations. In fact, a set of powerful relations allows one to demonstrate the exact coincidence of the integral equations governing the momentum evolution of the gluon mass in both frameworks.",
optnote="WOS:000314684900003",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1327), last updated on Tue, 13 Oct 2020 12:52:09 +0000",
issn="1550-7998",
doi="10.1103/PhysRevD.87.034008",
opturl="http://arxiv.org/abs/1211.5314",
opturl="https://doi.org/10.1103/PhysRevD.87.034008",
archivePrefix="arXiv",
eprint="1211.5314",
language="English"
}