Constraints on Regge models from perturbation theory

Mondejar, Jorge; Pineda, A. Morelos

doi:10.1088/1126-6708/2007/10/061

Cited by 23 publications

(14 citation statements)

References 15 publications

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“…In fact, our results agree with those of Ref. [15], where also some contributions beyond the large-β 0 approximation 13 Here, we are of course concerned with the channel relevant to the vector current only. 14 Technically, a radial trajectory.…”

Section: Discussionsupporting

confidence: 91%

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Hyperasymptotics and quark-hadron duality violations in QCD

et al. 2018

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We investigate the origin of the quark-hadron duality-violating terms in the expansion of the QCD twopoint vector correlation function at large energies in the complex q 2 plane. Starting from the dispersive representation for the associated polarization, the analytic continuation of the operator product expansion from the Euclidean to the Minkowski region is performed by means of a generalized Borel-Laplace transform, borrowing techniques from hyperasymptotics. We establish a connection between singularities in the Borel plane and quark-hadron duality-violating contributions. Starting with the assumption that for QCD at N c ¼ ∞ the spectrum approaches a Regge trajectory at large energy, we obtain an expression for quark-hadron duality violations at large, but finite N c .

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Section: Discussionsupporting

confidence: 91%

“…This is confirmed by the work of Ref. [15], which considered this matching between the spectrum and the OPE in more detail using a more direct method, and found that the terms in both the perturbative and 1/q 2 series of the OPE can be matched using the spectrum of Eq. (4.2).…”

Section: A Expansion For Large Euclidean Momentumsupporting

confidence: 71%

Hyperasymptotics and quark-hadron duality violations in QCD

et al. 2018

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“…[22,23]). Our aim is to connect the OPE, the position of the peaks and the pre-asymptotic behaviour of the series.…”

Section: Model With Finite Width Resonancesmentioning

confidence: 99%

“…[22,23] to allow decay constants and widths to exhibit a log n dependence, but not for masses. We separate LO and NLO in the 1/N c expansion in masses and decay constants as…”

Section: Model With Finite Width Resonancesmentioning

confidence: 99%

A model of duality violations

Descotes-Genon

Roig

2014

Nuclear Physics B - Proceedings Supplements

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“…At large Euclidean momentum Q the asymptotics of the correlation functions is [26] (see definition (73)), where we neglect (α s ) correction to the partonic logarithm (the impact of this correction was studied in [116][117][118][119][120]) and the chiral limit is assumed. In order to obtain additional constraints on hadron parameters, the conventional here S.C. means "subtraction constant".…”

Section: Infinite Number Of Statesmentioning

confidence: 99%

Weinberg like sum rules revisited

Afonin

2009

PMC Phys A

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The generalized Weinberg sum rules containing the difference of isovector vector and axial-vector spectral functions saturated by both finite and infinite number of narrow resonances are considered. We give a historical survey and summarize the status of these sum rules analyzing their overall agreement with phenomenological Lagrangians, lowenergy relations, parity doubling, hadron string models, and experimental data.

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Constraints on Regge models from perturbation theory

Cited by 23 publications

References 15 publications

Hyperasymptotics and quark-hadron duality violations in QCD

Hyperasymptotics and quark-hadron duality violations in QCD

A model of duality violations

Weinberg like sum rules revisited

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