Operator product expansion and quark–hadron duality: facts and riddles

Hofmann, Ralf

doi:10.1016/j.ppnp.2004.02.003

Cited by 11 publications

(4 citation statements)

References 253 publications

(594 reference statements)

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“…To parameterize the hadronic spectral density, we make use of the global and semilocal quark-hadron duality (QHD) [32,33] in order to connect the hadronic spectral density with the spectral density which is described by the OPE [18,21,27,31]. This is the essential idea of this formalism.…”

Section: Derivation Of the Qcd Sum Rules In Hqetmentioning

confidence: 99%

QCD sum rules for parameters of the $B$-meson distribution amplitudes

Rahimi,

Wald

2020

Preprint

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We obtain new estimates for the parameters λ 2 E , λ 2 H and their ratio R = λ 2 E /λ 2 H , which appear in the second moments of the B-meson light-cone distribution amplitudes defined in the heavy-quark effective field theory. The computation is based on two-point QCD sum rules for the diagonal correlation function and includes all contributions up to mass dimension seven in the operator-product expansion. For the ratio we get R = (0.1 ± 0.1) with λ 2 E = (0.01 ± 0.01) GeV 2 and λ 2 H = (0.11 ± 0.02) GeV 2 .

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Section: Derivation Of the Qcd Sum Rules In Hqetmentioning

confidence: 99%

QCD sum rules for parameters of the $B$-meson distribution amplitudes

Rahimi,

Wald

2020

Preprint

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“…We refer the interested reader to Refs. [31,32] for more detailed discussions and here only give a brief description. The quark-hadron duality was first proposed in Ref.…”

Section: The Quark-hadron Dualitymentioning

confidence: 99%

“…[33] and says that a hadronic and experimentally measurable spectral function ρ(s) appropriately averaged over a certain energy range can be described by the corresponding expression calculated from QCD and its degrees of freedom, quarks and gluons. More precisely, one sometimes distinguishes between a local and global quark-hadron duality [32]. The former refers to the case where the non-energy-averaged hadronic spectral function agrees with its QCD counterpart within uncertainties.…”

Section: The Quark-hadron Dualitymentioning

confidence: 99%

Recent progress in QCD condensate evaluations and sum rules

Gubler

Satow

2019

Progress in Particle and Nuclear Physics

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We review the recent status of the QCD sum rule approach to study the properties of hadrons in vacuum and in hot or dense matter. Special focus is laid on the progress made in the evaluation of the QCD condensates, which are the input of all QCD sum rule calculations, and for which much new information has become available through high precision lattice QCD calculations, chiral perturbation theory and experimental measurements. Furthermore, we critically examine common analysis methods for QCD sum rules and contrast them with potential alternative strategies. The status of QCD sum rule studies investigating the modification of hadrons at finite density as well as recent derivations of exact sum rules applicable to finite temperature spectral functions, are also reviewed.

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“…We assume the continuous states begin at ( ) ∆ = p 2 0 with ( ) ∆ 0 being the dynamical fermion mass, and ∆ = ∆ = ∆ 1 2 holds in the present work. We subtract the contribution of the continuous states above ∆ 2 from both sides of equation (27), which is an analogue to the quarkhadron duality in particle physics [42,43,46,47], and the resultant expression is…”

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confidence: 99%

Optical signatures of parity anomaly in a gapped graphene-like system

Zhang¹,

Qiu²

2017

J. Phys.: Condens. Matter

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Parity anomaly refers to the violation of coordinate reflection symmetry induced by the quantum fluctuations. It is proposed to exist in a graphene-like system with a finite bare mass for Dirac fermions, and manifests itself as a parity-violating quantum correction to the current of each species of fermions. Coulomb interaction greatly increases the fermion mass, and produces various types of excitons. Of particular interest is the ρ-exciton, which is directly connected to parity anomaly and can be generated by absorbing a specific photon. The exciton is a particle-hole bound state, and can be regarded as condensed-matter analogue of meson composed of quark-anti-quark pair. By virtue of this correspondence, we analyze the optical conductivity and calculate the mass of ρ-exciton by employing the Shifman-Vainshtein-Zakharov sum rule method that is widely used in the studies of hadron phenomenology. We show that ρ-exciton leads to a sharp peak in the optical conductivity, which is observable in optical experiments. Moreover, we study the impact of scalar-like excitons on two-photon processes by computing the decay amplitude, and also find peaks in the Raman spectra.

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Operator product expansion and quark–hadron duality: facts and riddles

Cited by 11 publications

References 253 publications

QCD sum rules for parameters of the $B$-meson distribution amplitudes

QCD sum rules for parameters of the $B$-meson distribution amplitudes

Recent progress in QCD condensate evaluations and sum rules

Optical signatures of parity anomaly in a gapped graphene-like system

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