<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>η</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>η</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:math>mesons and dimension 2 gluon condensate<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo stretchy="false">⟨</mml:mo><mml:msup><mml:mi>A</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy="false">⟩</mml:mo></mml:math>

Kekez, Dalibor; Klabučar, Dubravko

doi:10.1103/physrevd.73.036002

Cited by 28 publications

(109 citation statements)

References 67 publications

(198 reference statements)

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“…[28,29,30,31] show how to incorporate the effects of the anomaly into the DS-approach and achieve a successful description of η and η ′ (at T = 0). They also show [28,29,30,31] that this works if one first achieves what is needed for the non-anomalous aspect of the η-η ′ complex, namely the good description of pions and kaons. While the DS approach in RLA tackles this efficiently at T = 0, it is technically quite difficult to extend solving Eqs.…”

Section: A Model and Its Results In Non-anomalous Sectormentioning

confidence: 99%

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ηandη′mesons in the Dyson-Schwinger approach at finite temperature

2007

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We study the temperature dependence of the pseudoscalar meson properties in a relativistic boundstate approach exhibiting the chiral behavior mandated by QCD. Concretely, we adopt the DysonSchwinger approach with a rank-2 separable model interaction. After extending the model to the strange sector and fixing its parameters at zero temperature, T = 0, we study the T -dependence of the masses and decay constants of all ground-state mesons in the pseudoscalar nonet. Of chief interest are η and η ′ . The influence of the QCD axial anomaly on them is successfully obtained through the Witten-Veneziano relation at T = 0. The same approach is then extended to T > 0, using lattice QCD results for the topological susceptibility. The most conspicuous finding is an increase of the η ′ mass around the chiral restoration temperature T Ch , which would suggest a suppression of η ′ production in relativistic heavy-ion collisions. The increase of the η ′ mass may also indicate that the extension of the Witten-Veneziano relation to finite temperatures becomes unreliable around and above T Ch . Possibilities of an improved treatment are discussed.

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Section: A Model and Its Results In Non-anomalous Sectormentioning

confidence: 99%

“…As a contribution, the present paper extends to finite temperatures the successful bound-state, DS approach of Refs. [28,29,30,31] to the η-η ′ complex. The paper is organized as follows.…”

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confidence: 99%

ηandη′mesons in the Dyson-Schwinger approach at finite temperature

2007

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“…This condensate then made its appearance in a variety of works, see e.g. [22,[62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79]. In the works [49,50], the relation was explored between this condensate and magnetic degrees of freedom, which are generally believed to play an important role for confinement.…”

Section: An Important Asset In the Computation D(pmentioning

confidence: 99%

Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate⟨A2⟩in the Landau gauge

2010

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We consider the gluon propagator D(p 2 ) at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate the tree level analytical prediction in terms of the (Refined) Gribov-Zwanziger framework. It turns out that an important role is played by the presence of the widely studied dimension two gluon condensate A 2 . Including this effect allows to obtain an acceptable fit up to 1á 1.5 GeV, while corroborating the Refined Gribov-Zwanziger prediction for the gluon propagator. We also discuss the infinite volume extrapolation, leading to the estimate D(0) = 8.3 ± 0.5 GeV −2 . As a byproduct, we can also provide the prediction g 2 A 2 ≈ 3 GeV 2 obtained at the renormalization scale µ = 10 GeV.

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“…12 Interplay between the non-Abelian anomaly and flavor symmetry breaking is also explored in Ref. [61]. scalar state listed in Table 1.…”

Section: Meson Spectroscopymentioning

confidence: 99%

Hadron properties and Dyson–Schwinger equations

Roberts

2008

Progress in Particle and Nuclear Physics

179

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An overview of the theory and phenomenology of hadrons and QCD is provided from a DysonSchwinger equation viewpoint. Following a discussion of the definition and realisation of light-quark confinement, the nonperturbative nature of the running mass in QCD and inferences from the gap equation relating to the radius of convergence for expansions of observables in the current-quark mass are described. Some exact results for pseudoscalar mesons are also highlighted, with details relating to the U A (1) problem, and calculated masses of the lightest J = 0, 1 states are discussed. Studies of nucleon properties are recapitulated upon and illustrated: through a comparison of the ln-weighted ratios of Pauli and Dirac form factors for the neutron and proton; and a perspective on the contribution of quark orbital angular momentum to the spin of a nucleon at rest. Comments on prospects for the future of the study of quarks in hadrons and nuclei round out the contribution.

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ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

Cited by 28 publications

References 67 publications

ηandη′mesons in the Dyson-Schwinger approach at finite temperature

ηandη′mesons in the Dyson-Schwinger approach at finite temperature

Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate⟨A2⟩in the Landau gauge

Hadron properties and Dyson–Schwinger equations

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