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Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by…

高能物理 - 唯象学 · 物理学 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Modifying the standard approaches to nonperturbative QCD based on Borel-transformed dispersive sum rules by allowing the effective continuum thresholds required for the implementation of quark-hadron duality to depend on the Borel…

高能物理 - 唯象学 · 物理学 2011-02-01 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

In response to Kim's comment (nucl-th/9903040) on the sum rules for pion-baryon coupling constants obtained in hep-ph/9512259 and hep-ph/9606471, we point out that our treatment of the continuum is consistent with duality and with the fact…

核理论 · 物理学 2009-10-31 Boris Krippa , Michael C. Birse

A proper way of subtracting the continuum contributions in light-cone QCD sum rules (LCQSR) is demonstrated. Specifically, we calculate the continuum corresponding to a typical OPE appearing in LCQSR by properly combining the double…

高能物理 - 唯象学 · 物理学 2009-10-31 Hungchong Kim , Su Houng Lee , Makoto Oka

We derive QCD sum rules from the nucleon two-point function in nuclear medium, calculating its specral function in chiral perturbation theory to one loop. Our calculation shows the inadequacy of the commonly used ansatz to represent the…

核理论 · 物理学 2007-05-23 S. Mallik , Hiranmaya Mishra

A novel procedure for extracting hadron characteristics from QCD sum rules, based on effective continuum thresholds (necessary for the implementation of quark-hadron duality) which may depend on the involved momenta and on the Borel…

高能物理 - 唯象学 · 物理学 2011-06-15 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We show that the leading double spectral density in sum rules for Compton-like processes can be obtained by simple properties of the Borel transform, extending an approach widely used in the literature on sum rules, and known to be valid…

高能物理 - 唯象学 · 物理学 2025-02-05 Claudio Corianò

We compare the extraction of the ground-state decay constant from the two-point correlator in QCD and in potential models and show that the results obtained at each step of the extraction procedure follow a very similar pattern. We prove…

高能物理 - 唯象学 · 物理学 2010-03-17 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

In this work, we studied the Borel masses relation used in QCDSR calculations. These masses are the parameters of the Borel transform used when the three point function is calculated. We analised an usual and a more general linear…

高能物理 - 唯象学 · 物理学 2011-06-29 B. Osório Rodrigues , M. E. Bracco , M. Chiapparini

I use QCD sum rule ideas to construct models for generalized parton distributions. To this end, the perturbative parts of QCD sum rules for the pion and nucleon electromagnetic form factors are interpreted in terms of GPDs and two models…

高能物理 - 唯象学 · 物理学 2009-09-24 Anatoly Radyushkin

A new approach of the QCD sum rule is proposed in which positive and negative-parity baryons couple with each other. With positive and negative-parity states explicitly taken into account, sum rules are derived by means of the dispersion…

高能物理 - 唯象学 · 物理学 2009-11-11 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

We construct QCD sum rules for nonperturbative studies without assuming the quark-hadron duality for the spectral density at low energy on the hadron side. Instead, both resonance and continuum contributions to the spectral density are…

高能物理 - 唯象学 · 物理学 2021-01-04 Hsiang-nan Li , Hiroyuki Umeeda

Dispersion Relations (DR) are known to be a powerful instrument for studying scattering amplitudes. In particular, they often apply to calculations in Perturbative QCD and Standard Model. We argue that applying DR to amplitudes with…

高能物理 - 唯象学 · 物理学 2024-04-02 B. I. Ermolaev , S. I. Troyan

A new derivation is given for the representation, under certain conditions, of the integral dispersion relations of scattering theory through local forms. The resulting expressions have been obtained through an independent procedure to…

数学物理 · 物理学 2014-03-25 Erasmo Ferreira , Javier Sesma

A recently proposed scheme is used to saturate the spectral side of the QCD sum rules derived from the thermal, two-point correlation functions of the vector and the axial-vector currents. At low temperature, it constructs the spectral…

高能物理 - 唯象学 · 物理学 2009-11-07 S. Mallik , Sourav Sarkar

We extend QCD sum rule analysis to moderate energy fixed angle Compton scattering. In this kinematic region there is a strong similarity to the sum rule treatment of electromagnetic form factors, although the four-point amplitude requires a…

高能物理 - 唯象学 · 物理学 2014-11-17 Claudio Coriano' , Anatoly Radyushkin , George Sterman

We analyze subtracted dispersion relations for meson correlators at finite baryon density and temperature. Such relations are needed for QCD sum rules. We point out the importance of scattering terms, as well as finite, well-defined…

核理论 · 物理学 2009-10-31 W. Florkowski , W. Broniowski

Taking the example of the most popular and well-established Borel / Laplace / Exponential sum rule (LSR), I shortly review some of its recent applications in hadron physics namely the estimates of non-perturbative condensates, the…

高能物理 - 唯象学 · 物理学 2014-10-07 Stephan Narison

QCD sum rules are useful tools for studying the spectral properties of hadrons; however, assumptions underlying standard sum-rule analyses can lead to inconsistencies with known results of chiral perturbation theory. This possibility is…

高能物理 - 唯象学 · 物理学 2009-10-28 David K. Griegel , Thomas D. Cohen

We review the DPD sum rules and establish their validity to all orders in QCD. This is done using a diagrammatic approach and light-front perturbation theory. In the process we furthermore investigate the QCD evolution of double parton…

高能物理 - 唯象学 · 物理学 2017-04-11 Peter Plößl
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