From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD

Braun, Jens; Fister, Leonard; Pawlowski, Jan M.; Rennecke, Fabian

doi:10.1103/physrevd.94.034016

Cited by 157 publications

(262 citation statements)

References 62 publications

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“…At intermediate or even low momentum scales, however, these two definitions of the strong coupling do not necessarily agree. For example, at zero temperature and intermediate momentum scales k ∼ O(1 GeV) [14,22], the coupling g 2 ψ / Aψ has been found to be greater than the background-field running coupling. Therefore, the use of the background-field coupling from Refs.…”

Section: ψ /mentioning

confidence: 99%

“…Thus, the transition between the QCD RG-flows at high momentum scales and the QCD low-energy model is not smooth. A smooth transition between quarks and gluons on the one hand and hadronic degrees of freedom on the other hand without any fine-tuning requires more elaborate techniques, such a dynamical hadronization techniques in the RG context [14,22,[26][27][28][29]. Still, the projection scale Λ I has also been estimated to be of the order of the constituent quark mass when these techniques are employed [30].…”

Section: Low-energy Model From Gluon-induced Quark Self-interactionsmentioning

confidence: 99%

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QCD-inspired determination of NJL model parameters

et al. 2017

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Abstract. The QCD phase diagram at finite temperature and density has attracted considerable interest over many decades now, not least because of its relevance for a better understanding of heavy-ion collision experiments. Models provide some insight into the QCD phase structure but usually rely on various parameters. Based on renormalization group arguments, we discuss how the parameters of QCD low-energy models can be determined from the fundamental theory of the strong interaction. We particularly focus on a determination of the temperature dependence of these parameters in this work and comment on the effect of a finite quark chemical potential. We present first results and argue that our findings can be used to improve the predictive power of future model calculations.

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Section: ψ /mentioning

confidence: 99%

Section: Low-energy Model From Gluon-induced Quark Self-interactionsmentioning

confidence: 99%

QCD-inspired determination of NJL model parameters

et al. 2017

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“…Due to these differences, combinations of DSEs and FRGEs can be used to study, control and thus minimize artefacts from the necessary truncations. This strategy has been successfully employed in the past and FRGEs and DSEs together have been essential in the determination of QCD's Green functions, see [203,204,[213][214][215][216] and references therein. With respect to the main topic of this review, however, although FRG studies have begun to make progress in the meson sector they have not yet contributed to our understanding of the spectrum and properties of baryons.…”

Section: Functional Renormalisation Group (Frg)mentioning

confidence: 99%

“…Exploratory lattice results are available in the quenched approximation [223], with unquenched updates under way. In the DSE framework the quark-gluon vertex has been tackled with three different strategies: (i) nonperturbative ansätze for selected tensor structures, constructed along continuations of resummed perturbation theory into the infrared and supplemented with information from the Slavnov-Taylor identities [189,222,[242][243][244][245][246][247]; (ii) explicit solutions of approximated Slavnov-Taylor identities [207]; and (iii) numerical solutions of truncations of the quark-gluon vertex DSE and FRGE [209,213,215,[248][249][250][251][252][253][254][255][256]. At least on a quantitative level the results from these approaches are not in very good agreement with each other.…”

Section: Munczek-nemirovsky Modelmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

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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“…There are various models which can be used to study the region near T c , which we call the "semi" Quark-Gluon Plasma. This includes Parton Hadron String Dynamics [50][51][52][53][54][55], Polyakov loop models [56][57][58], the functional renormalization group [59][60][61][62][63][64][65][66][67][68][69][70], background field methods [71][72][73], and lastly, matrix models [74][75][76][77][78][79][80][81][82][83][84][85].…”

Section: Jhep10(2015)005mentioning

confidence: 99%

Dilepton and photon production in the presence of a nontrivial Polyakov loop

Hidaka¹,

Lin²,

Pisarski³

et al. 2015

J. High Energ. Phys.

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Abstract:We calculate the production of dileptons and photons in the presence of a nontrivial Polyakov loop in QCD. This is applicable to the semi-Quark Gluon Plasma (QGP), at temperatures above but near the critical temperature for deconfinement. The Polyakov loop is small in the semi-QGP, and near unity in the perturbative QGP. Working to leading order in the coupling constant of QCD, we find that there is a mild enhancement, ∼ 20%, for dilepton production in the semi-QGP over that in the perturbative QGP. In contrast, we find that photon production is strongly suppressed in the semi-QGP, by about an order of magnitude, relative to the perturbative QGP. In the perturbative QGP photon production contains contributions from 2 → 2 scattering and collinear emission with the Landau-Pomeranchuk-Migdal (LPM) effect. In the semi-QGP we show that the two contributions are modified differently. The rate for 2 → 2 scattering is suppressed by a factor which depends upon the Polyakov loop. In contrast, in an SU(N ) gauge theory the collinear rate is suppressed by 1/N , so that the LPM effect vanishes at N = ∞. To leading order in the semi-QGP at large N , we compute the rate from 2 → 2 scattering to the leading logarithmic order and the collinear rate to leading order.

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From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD

Cited by 157 publications

References 62 publications

QCD-inspired determination of NJL model parameters

QCD-inspired determination of NJL model parameters

Baryons as relativistic three-quark bound states

Dilepton and photon production in the presence of a nontrivial Polyakov loop

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