A Dyson–Schwinger study of the four-gluon vertex

Cyrol, Anton K.; Huber, Markus Q.; Smekal, Lorenz von

doi:10.1140/epjc/s10052-015-3312-1

Cited by 90 publications

(116 citation statements)

References 84 publications

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“…Results from functional equations already showed in four dimensions [25,29] that the tree-level tensor follows the one-loop resummed perturbative behavior down to a few GeV and deviates considerably only at low momenta due to contributions from the ghosts. Furthermore, other dressing functions tested in [25] are very small. Similar results were found in three dimensions [4], see Fig.…”

Section: Testing Truncations: Yang-mills Theory In Three Dimensionsmentioning

confidence: 97%

“…For the three-gluon vertex it was found in four dimensions that other dressing functions are small [24]. For the four-gluon vertex it was shown for some dressing functions that they are small when evaluating them a posteriori with the obtained solution as input [25]. The reasons for working in three dimensions are related to the absence of renormalization.…”

Section: Testing Truncations: Yang-mills Theory In Three Dimensionsmentioning

confidence: 99%

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An exploratory study of Yang-Mills three-point functions at non-zero temperature

Huber

2017

EPJ Web Conf.

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Abstract. Results for three-point functions of Landau gauge Yang-Mills theory at nonvanishing temperature are presented and compared to lattice results. It is found that the three-gluon vertex is enhanced for temperatures below the phase transition. At very low momenta it becomes negative for all temperatures. Furthermore, truncation effects in functional equations are discussed at the example of three-dimensional Yang-Mills theory for which a self-contained solution is presented.

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Section: Testing Truncations: Yang-mills Theory In Three Dimensionsmentioning

confidence: 97%

Section: Testing Truncations: Yang-mills Theory In Three Dimensionsmentioning

confidence: 99%

An exploratory study of Yang-Mills three-point functions at non-zero temperature

Huber

2017

EPJ Web Conf.

Self Cite

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“…To systemetise this procedure until apparent convergence is reached is at the heart of modern treatments of the tower of DSEs, see e.g. [205][206][207][208][209][210] and references therein. Other strategies are possible and are discussed below and in the course of this review.…”

Section: Dyson-schwinger Equations (Dses)mentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

438

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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“…The analogous construction for the case of the four-gluon vertex Γ mnrs µαβγ (q, r, p, t) would be particularly cumbersome, given the vast proliferation of tensorial structures appearing in its Lorentz decomposition [84][85][86], and will not be carried out. As we will see in what follows, although results such as Eq.…”

Section: B Ward Identitiesmentioning

confidence: 99%

Unified description of seagull cancellations and infrared finiteness of gluon propagators

Aguilar¹,

Binosi²,

Figueiredo³

et al. 2016

Phys. Rev. D

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We present a generalized theoretical framework for dealing with the important issue of dynamical mass generation in Yang-Mills theories, and, in particular, with the infrared finiteness of the gluon propagators, observed in a multitude of recent lattice simulations. Our analysis is manifestly gauge-invariant, in the sense that it preserves the transversality of the gluon self-energy, and gauge-independent, given that the conclusions do not depend on the choice of the gauge-fixing parameter within the linear covariant gauges. The central construction relies crucially on the subtle interplay between the Abelian Ward identities satisfied by the nonperturbative vertices and a special integral identity that enforces a vast number of 'seagull cancellations' among the oneand two-loop dressed diagrams of the gluon Schwinger-Dyson equation. The key result of these considerations is that the gluon propagator remains rigorously massless, provided that the vertices do not contain (dynamical) massless poles. When such poles are incorporated into the vertices, under the pivotal requirement of respecting the gauge symmetry of the theory, the terms comprising the Ward identities conspire in such a way as to still enforce the total annihilation of all quadratic divergences, inducing, at the same time, residual contributions that account for the saturation of gluon propagators in the deep infrared.

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A Dyson–Schwinger study of the four-gluon vertex

Cited by 90 publications

References 84 publications

An exploratory study of Yang-Mills three-point functions at non-zero temperature

An exploratory study of Yang-Mills three-point functions at non-zero temperature

Baryons as relativistic three-quark bound states

Unified description of seagull cancellations and infrared finiteness of gluon propagators

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