Unquenching the gluon propagator with Schwinger-Dyson equations

Aguilar, A. C.; Binosi, Daniele; Papavassiliou, Joannis

doi:10.1103/physrevd.86.014032

Cited by 99 publications

(118 citation statements)

References 74 publications

Supporting

Mentioning

102

Contrasting

Order By: Relevance

“…[74,75], combined with lattice studies as that of ref. [7], appear to confirm that the presence of light quarks modifies the ghost and gluon two-point and ghost-gluon three-point Green's functions only slightly at the quantitative level.…”

Section: Lattice Qcd Resultsmentioning

confidence: 99%

Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

et al. 2017

View full text Add to dashboard Cite

This article reports on the detailed study of the three-gluon vertex in four-dimensional SU (3) Yang-Mills theory employing lattice simulations with large physical volumes and high statistics. A meticulous scrutiny of the so-called symmetric and asymmetric kinematical configurations is performed and it is shown that the associated form-factor changes sign at a given range of momenta. The lattice results are compared to the model independent predictions of Schwinger-Dyson equations and a very good agreement among the two is found.

show abstract

Section: Lattice Qcd Resultsmentioning

confidence: 99%

Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Indeed, large-volume lattice simulations [5] and the corresponding SDE analysis [79,80] have explicitly shown that even when dynamical quarks are present (i ) the ghost remains massless, and (ii ) the gluon acquires dynamically a (heavier) mass. As a result, the machinery developed here is directly applicable to the unquenched case, with the minimal modification ∆ …”

Section: Discussionmentioning

confidence: 99%

Effects of divergent ghost loops on the Green’s functions of QCD

et al. 2014

Self Cite

View full text Add to dashboard Cite

In the present work we discuss certain characteristic features encoded in some of the fundamental QCD Green's functions, whose origin can be traced back to the nonperturbative masslessness of the ghost field, in the Landau gauge. Specifically, the ghost loops that contribute to these Green's functions display infrared divergences, akin to those encountered in the perturbative treatment, in contradistinction to the gluonic loops, whose perturbative divergences are tamed by the dynamical generation of an effective gluon mass. In d = 4, the aforementioned divergences are logarithmic, thus causing a relatively mild impact, whereas in d = 3 they are linear, giving rise to enhanced effects. In the case of the gluon propagator, these effects do not interfere with its finiteness, but make its first derivative diverge at the origin, and introduce a maximum in the region of infrared momenta. The three-gluon vertex is also affected, and the induced divergent behavior is clearly exposed in certain special kinematic configurations, usually considered in lattice simulations; the sign of the corresponding divergence is unambiguously determined. The main underlying concepts are developed in the context of a simple toy model, which demonstrates clearly the interconnected nature of the various effects. The picture that emerges is subsequently corroborated by a detailed nonperturbative analysis, combining lattice results with the dynamical integral equations governing the relevant ingredients, such as the nonperturbative ghost loop and the momentum-dependent gluon mass.

show abstract

“…This makes terms automatically more infrared divergent, promoting the screening mass to a correction of the wave-function renormalization [152]. Note that therefore at least all one-loop contributions in the gluon equation contribute equally [38,225].…”

Section: Finite-ghost Behaviormentioning

confidence: 99%

Gauge bosons at zero and finite temperature

2013

View full text Add to dashboard Cite

Gauge theories of the Yang-Mills type are the single most important building block of the standard model of particle physics and beyond. They are an integral part of the strong and weak interactions, and in their Abelian version of electromagnetism. Since Yang-Mills theories are gauge theories their elementary particles, the gauge bosons, cannot be described without fixing a gauge. Therefore, to obtain their properties a quantized and gauge-fixed setting is necessary.Beyond perturbation theory, gauge-fixing in non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity, which requires the introduction of non-local constraints. The construction and implementation of a method-independent gauge-fixing prescription to resolve this ambiguity is the single most important first step to describe gauge bosons beyond perturbation theory. Proposals for such a procedure, generalizing the perturbative Landau gauge, are described here. Their implementation are discussed for two example methods, lattice gauge theory and the quantum equations of motion.After gauge-fixing, it is possible to study gauge bosons in detail. The most direct access is provided by their correlation functions. The corresponding two-and three-point correlation functions are presented at all energy scales. These give access to the properties of the gauge bosons, like their absence from the asymptotic physical state space, particle-like properties at high energies, and the running coupling. Furthermore, auxiliary degrees of freedom are introduced during gauge-fixing, and their properties are discussed as well. These results are presented for two, three, and four dimensions, and for various gauge algebras.Finally, the modifications of the properties of gauge bosons at finite temperature are presented. Evidence is provided that these reflect the phase structure of Yang-Mills theory. However, it is found that the phase transition is not deconfining the gauge bosons, although the bulk thermodynamical behavior is of a Stefan-Boltzmann type. The resolution of this apparent contradiction is also presented. In addition, this resolution provides an explicit and constructive solution to the Linde problem.Thus, the technical and conceptual framework presented here can be taken as a basis how to determine correlation functions in Yang-Mills theory, therefore opening up the avenue to investigate theories of direct practical relevance. The status of this effort will be briefly described, alongside with connections to other approaches to Yang-Mills theory beyond perturbation theory.

show abstract

Unquenching the gluon propagator with Schwinger-Dyson equations

Cited by 99 publications

References 74 publications

Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

Effects of divergent ghost loops on the Green’s functions of QCD

Gauge bosons at zero and finite temperature

Contact Info

Product

Resources

About