Hadronic Form Factor Models and Spectroscopy Within the Gauge/Gravity Correspondence

de Teramond, Guy F.; Brodsky, Stanley J.

doi:10.48550/arxiv.1203.4025

Cited by 56 publications

(130 citation statements)

References 125 publications

(312 reference statements)

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“…The Q 2 behavior of the prediction of the QCD sum rule inspired model[16] disagrees strongly with the data. The pQCD prediction of Gousset and Pire[17] is nearly a factor two smaller than our measurements, and the latest AdS/QCD prediction by Brodsky and de Teramond[18] reproduces the data below 5 GeV2 , but falls to 2/3 of the observed values for |Q 2 | > 5 GeV 2 . Czyz et al [19] have shown that the measured F π (|Q 2 |) at |Q 2 | > 5 GeV 2 can be parameterized in a VDM approach, but only by including hypothesized radial ρ 3 , ρ 4 , ρ 5 resonances.…”

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confidence: 48%

“…The solid points in the pion and proton panels are from BaBar ISR measurements [14,22], the open triangles are from FNAL pp measurements [4], the open circles are from the CLEO measurements [5], the open squares at |Q 2 | = 16.1 GeV 2 and 18.3 GeV 2 are from our small statistics data sets, and the solid squares are from the present measurements at |Q 2 | = 14.2 GeV 2 and 17.4 GeV 2 . The theoretical curves for pions are from References [16,17,18]. The solid curves illustrate the arbitrarily normalized variation of αS for π and K, and α 2 S variation for protons.…”

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confidence: 99%

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Electromagnetic Structure of the Proton, Pion, and Kaon by High-Precision Form Factor Measurements at Large Timelike Momentum Transfers

et al. 2013

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The electromagnetic structure of the lightest hadrons, proton, pion, and kaon, is studied by high precision measurements of their form factors for the highest timelike momentum transfers of |Q 2 | = s = 14.2 and 17.4 GeV 2 . Data taken with the CLEO-c detector at √ s = 3.772 GeV and 4.170 GeV, with integrated luminosities of 805 pb −1 and 586 pb −1 , respectively, have been used to study e + e − annihilations into π + π − , K + K − , and pp. The dimensional counting rule prediction that at large Q 2 the quantity Q 2 F (Q 2 ) for pseudoscalar mesons is nearly constant, and should vary only weakly as the strong coupling constant, αS(Q 2 ), is confirmed for both pions and kaons. However, the measurements are in strong quantitative disagreement with the predictions of the existing QCDbased models. For protons, it is found that the timelike form factors continue to remain nearly twice as large as the corresponding spacelike form factors measured in electron elastic scattering, in significant violation of the expectation of their equality at large Q 2 . Further, in contrast to pions and kaons, a significant difference is observed between the values of the corresponding quantity Knowledge of the quark-gluon structure of the only stable baryon, the proton, and the lightest mesons, the pion and kaon, is of great interest for both nuclear and particle physics. Important questions about the size of the proton, the composition of its spin, and the large difference between its spacelike and timelike form factors remain open. Timelike form factors of pions and kaons, which are needed for the precision determination of the hadronic loop contribution to the muon g − 2 anomaly [1,2], are poorly known. Spacelike form factors of pions and kaons needed for the understanding of nuclear and hypernuclear forces are difficult to measure at large momentum transfers, and can only be obtained by analytic continuation of timelike form factors [3]. To meet these needs, precision measurements of timelike form factors at the highest possible momentum transfers are needed. In this Letter we report measurements of the form factors of pions, kaons, and protons with much higher precision, and for much larger timelike momentum transfers than before [4,5].Earlier measurements of proton form factors for large timelike momentum transfers (Q 2 < 0) made by the Fermilab E760/E835 pp → e + e − experiments for |Q 2 | = 8.84 − 13.11 GeV 2 [4], and the CLEO e + e − → pp measurements at |Q 2 | = 13.48 GeV 2 [5], revealed that the timelike form factors are nearly twice as large as the corresponding spacelike form factors, a result in strong disagreement with the expectation of their equality at asymptotically large |Q 2 |. The measurement of pion and kaon timelike form factors by CLEO at Q 2 = 13.48 GeV 2 [5] revealed that while the dimensional counting rule prediction of a α S /|Q 2 | variation of the form factors [6] was apparently confirmed, the measured form factors were factors 4 − 8 larger than predicted. Further, the ratio F π (|Q 2 |)/F K (|Q 2 |) wa...

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confidence: 48%

mentioning

confidence: 99%

Electromagnetic Structure of the Proton, Pion, and Kaon by High-Precision Form Factor Measurements at Large Timelike Momentum Transfers

et al. 2013

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“…The result is a relativistic and frame-independent semiclassical wave equation, which predicts a massless pion in the massless quark limit and Regge behavior for hadrons with the same slope in both orbital angular momentum L and the radial quantum number n [15]. The model also predicts hadronic light-front wavefunctions which underlie form factors [16] and other dynamical observables, as well as vector meson electroproduction [17].…”

Section: The Mass Scalementioning

confidence: 81%

Threefold complementary approach to holographic QCD

2014

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A complementary approach, derived from (a) higher-dimensional anti-de Sitter (AdS) space, (b) light-front quantization and (c) the invariance properties of the full conformal group in one dimension leads to a nonperturbative relativistic lightfront wave equation which incorporates essential spectroscopic and dynamical features of hadron physics. The fundamental conformal symmetry of the classical QCD Lagrangian in the limit of massless quarks is encoded in the resulting effective theory. The mass scale for confinement emerges from the isomorphism between the conformal group and SO(2, 1). This scale appears in the light-front Hamiltonian by mapping to the evolution operator in the formalism of de Alfaro, Fubini and Furlan, which retains the conformal invariance of the action. Remarkably, the specific form of the confinement interaction and the corresponding modification of AdS space are uniquely determined in this procedure.

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“…While according to the AdS/CFT correspondence or AdS/QCD correspondence [5,[11][12][13][14] we know that the holographic duality of entanglement entropy between boundary region A and its complement is the holographic entanglement entropy which can be calculated by the Ryu-Takayanagi formula [15,16] S A ≡ S h A = Area(min m(A)∼A {m(A)})…”

Section: Introductionmentioning

confidence: 99%

The entanglement properties of holographic QCD model with a critical end point

Li,

Xu,

Huang

2020

Preprint

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We investigate different entanglement properties of a holographic QCD (hQCD) model with a critical end point at finite baryon density. Firstly we consider the holographic entanglement entropy (HEE) of this hQCD model in a spherical shaped region and a strip shaped region, respectively, and find that the HEE of this hQCD model in both regions can reflect QCD phase transition. What is more is that although the area formulas and minimal area equations of the two regions are quite different, the HEE have very similar behavior on the QCD phase diagram. So we argue that the behavior of HEE on the QCD phase diagram is independent of the shape of subregions. However, as we know that HEE is not a good quantity to characterize the entanglement between different subregions of a thermal system. So we then study the mutual information (MI), conditional mutual information (CMI) and the entanglement of purification (Ep) in different strip shaped regions. We find that the three entanglement quantities have very similar behavior: their values do not change so much in the hadronic matter phase and then rise up quickly with the increase of T and µ in the QGP phase. Near the phase boundary, these three entanglement quantities change smoothly in the crossover region, continuously but not smoothly at CEP and show discontinuity behavior in the first phase transition region. And all of them can be used to distinguish different phases of strongly coupled matter.

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Hadronic Form Factor Models and Spectroscopy Within the Gauge/Gravity Correspondence

Cited by 56 publications

References 125 publications

Electromagnetic Structure of the Proton, Pion, and Kaon by High-Precision Form Factor Measurements at Large Timelike Momentum Transfers

Electromagnetic Structure of the Proton, Pion, and Kaon by High-Precision Form Factor Measurements at Large Timelike Momentum Transfers

Threefold complementary approach to holographic QCD

The entanglement properties of holographic QCD model with a critical end point

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