A universal constraint on the infrared behavior of the ghost propagator in QCD

Gao, Fei; Tang, Can; Liu, Yuxin

doi:10.1016/j.physletb.2017.09.069

Cited by 7 publications

(8 citation statements)

References 44 publications

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“…The interaction kernel involves a massive gluon propagator on the domain at s = 0, which is consistent with that determined in recent studies of QCD's gauge sector [39][40][41][42][43][44][45][46][47][48][49][50][51]. At finite temperature, the gluon propagator separates into color-magnetic and electric modes, i.e., the dimension corresponding to temperature will be isolated in order to allow the introduction of O(4) symmetry breaking [8].…”

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confidence: 84%

Thermal properties of $$\pi $$ and $$\rho $$ meson

Gao¹,

Ding

2020

Eur. Phys. J. C

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We computed the pole masses and decay constants of $$\pi $$ π and $$\rho $$ ρ meson at finite temperature in the framework of Dyson–Schwinger equations and Bethe–Salpeter equations approach. Below transition temperature, pion pole mass increases monotonously, while $$\rho $$ ρ meson seems to be temperature independent. Above transition temperature, pion mass approaches the free field limit of screening mass $$\sim 2\pi T$$ ∼ 2 π T , whereas $$\rho $$ ρ meson is about twice as large as that limit. Pion and the longitudinal projection of $$\rho $$ ρ meson decay constants have similar behaviour as the order parameter of chiral symmetry, whereas the transverse projection of $$\rho $$ ρ meson decay constant rises monotonously as temperature increases. The inflection point of decay constant and the chiral susceptibility get the same phase transition temperature. Though there is no access to the thermal width of mesons within this scheme, it is discussed by analyzing the Gell-Mann-Oakes-Renner (GMOR) relation in medium. These thermal properties of hadron observables will help us understand the QCD phases at finite temperature and can be employed to improve the experimental data analysis and heavy ion collision simulations.

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confidence: 84%

Thermal properties of $$\pi $$ and $$\rho $$ meson

Gao¹,

Ding

2020

Eur. Phys. J. C

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“…With the WTI, the longitudinal part of the vertex can be fixed, that is, the Ball-Chiu vertex [47,72]. Noticing that this WTI is the Abelian approximation, while the original relation is the Slavnov-Taylor identity (STI) [73] which reads:…”

Section: Introductionmentioning

confidence: 99%

“…To solve the DSE for the quark propagator, i.e., the gap equation, people need to know the information of gluon propagator and the quark-gluon vertex, which satisfy their own DSEs. However, the DSEs for the gluon propagator and the quark-gluon vertex includes other three-and four-point green functions [3,[39][40][41][42][44][45][46][47][48][49][50][51][52][53], therefore, truncation must be implemented for solving the DSEs.…”

Section: Introductionmentioning

confidence: 99%

Practical scheme from QCD to phenomena via Dyson-Schwinger equations

2019

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We deliver a scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the gluon propagator and the running coupling function fitted by the solutions of their respective DSEs. We obtain the momentum and current mass dependence of the quark propagator and the quark-gluon vertex, and the chiral quark condensate which agrees with previous results excellently. We also compute the quark-photon vertex within this scheme and give the anomalous chromo-and electro-magnetic moment of quark. The obtained results are consistent with previous ones very well. These applications manifest that the scheme is realistic and then practical for explaining the QCD-related phenomena.

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“…Progress in computing the quark-gluon vertex and the fundamental QCD kernels has been slow and it revealed quite a difficult problem per se [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In this perspective, gathering information and combining various non-perturbative approaches can be useful to learn more about this fundamental QCD quantity.…”

Section: Introductionmentioning

confidence: 99%

Exploring the quark-gluon vertex with Slavnov–Taylor identities and lattice simulations

et al. 2018

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The soft gluon limit of the longitudinal part of the quark-gluon vertex is studied by resorting to non-perturbative approaches to quantum chromodynamics (QCD). Based on a Slavnov-Taylor identity (STI), the longitudinal form factors is expressed in terms of the quark-ghost kernel, the quark self energy and the quark wave function. An exact relation between the non-vanishing longitudinal form factors is derived for the soft gluon limit and explored to understand the behaviour of the vertex. Within a Ball-Chiu vertex, the form factor λ 1 was analysed using recent lattice simulations for full QCD for the soft gluon limit. The lattice data shows that the gluon propagator resumes the momentum dependence of such component of the vertex. This connection is understood via a fully dressed one-loop Bethe-Salpeter equation. The behaviour of the remaining longitudinal form factors λ 2 ( p 2 ) and λ 3 ( p 2 ) is investigated combining both the information of lattice simulations and the derived relations based on the STI.

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A universal constraint on the infrared behavior of the ghost propagator in QCD

Cited by 7 publications

References 44 publications

Thermal properties of $$\pi $$ and $$\rho $$ meson

Thermal properties of $$\pi $$ and $$\rho $$ meson

Practical scheme from QCD to phenomena via Dyson-Schwinger equations

Exploring the quark-gluon vertex with Slavnov–Taylor identities and lattice simulations

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