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The external-field QCD Sum Rules method is used to evaluate the coupling constants of the light-isoscalar scalar meson (``\sigma'' or \epsilon) to the \Lambda, \Sigma, and \Xi baryons. It is shown that these coupling constants as calculated…

Nuclear Theory · Physics 2008-11-26 G. Erkol , M. Oka , Th. A. Rijken , R. G. E. Timmermans

In traditional QCD sum rules, the simple hadron spectral density model of ``delta-function-type ground state + theta-function-type continuous spectrum" determines that there is no perfect parameter selection. In recent years, inverse…

High Energy Physics - Phenomenology · Physics 2024-07-16 Zhen-Xing Zhao , Yi-Peng Xing , Run-Hui Li

Recent developments in the uses of QCD spectral sum rules (QSSR) for heavy flavours are summarized and updated. QSSR results are compared with the existing data and with the ones from alternative approaches.

High Energy Physics - Phenomenology · Physics 2014-11-17 Stephan Narison

This review article discusses the experimental and theoretical status of various Parton Model sum rules. The basis of the sum rules in perturbative QCD is discussed. Their use in extracting the value of the strong coupling constant is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ian Hinchliffe , Axel Kwiatkowski

The antifield formalism is extended so as to incorporate the rigid symmetries of a given theory. To that end, it is necessary to introduce global ghosts not only for the given rigid symmetries, but also for all the higher order conservation…

High Energy Physics - Theory · Physics 2016-08-15 Friedemann Brandt , Marc Henneaux , André Wilch

We use the method of QCD sum rules in the presence of an external pion field to investigate isospin symmetry breakings in pion-nucleon couplings. Possible manifestations of such isospin symmetry breaking are examined in the context of…

Nuclear Theory · Physics 2009-09-25 W-Y. P. Hwang , Ze-sen Yang , Y. S. Zhong , Z. N. Zhou , Shi-lin Zhu

We study the accuracy of the bound-state parameters obtained with the method of dispersive sum rules, one of the most popular theoretical approaches in nonperturbative QCD and hadron physics. We make use of a quantum-mechanical potential…

High Energy Physics - Phenomenology · Physics 2010-04-28 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The procedure of the estimates of the higher-order perturbative QCD corrections to the physical quantities is generalized to the case when the quantities under consideration obey the renormalization group equationts with the corresponding…

High Energy Physics - Phenomenology · Physics 2010-01-06 A. L. Kataev

Application of the background-field method to QCD and the electroweak Standard Model yields gauge-invariant effective actions giving rise to simple Ward identities. Within this method, we calculate the quantities that have been treated in…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , S. Dittmaier , G. Weiglein

We study an extension of Plotkin's call-by-value lambda-calculus via two commutation rules (sigma-reductions). These commutation rules are sufficient to remove harmful call-by-value normal forms from the calculus, so that it enjoys elegant…

Logic in Computer Science · Computer Science 2019-03-14 Giulio Guerrieri , Luca Paolini , Simona Ronchi Della Rocca

It is proposed by Chen et. al. to represent the gauge fields in theories with local symmetries as a sum of "physical" and "pure gauge" fields which to be treated separately. Here we show that after quantization this representation leads to…

High Energy Physics - Theory · Physics 2015-02-27 M. N. Stoilov

We review the recent progress in the applications of QCD sum rules to hadron properties with the emphasis on the following selected problems: (i) development of new algorithms for the extraction of ground-state parameters from two-point…

High Energy Physics - Phenomenology · Physics 2016-01-26 Dmitri Melikhov

The extremization of an appropriate entropic functional may yield to the probability distribution functions maximizing the respective entropic structure. This procedure is known in Statistical Mechanics and Information Theory as Jaynes'…

Statistical Mechanics · Physics 2015-05-13 Thomas Oikonomou , Ugur Tirnakli

We point out subtleties in the previous sum rule calculations of the $\pi NN$ coupling associated with using either the PV or the PS coupling schemes in modeling the phenomenological side. We propose a sum rule which is independent of the…

Nuclear Theory · Physics 2007-05-23 Hungchong Kim

Within the QCD sum-rule approach in an external field, we calculate the baryon matrix element of isovector-scalar current, $H_{\rm B}=\langle B|\overline{u}u- \overline{d}d|B\rangle/2M_{\rm B}$, for octet baryons, which appears in the…

High Energy Physics - Phenomenology · Physics 2016-09-01 Xuemin Jin

QCD sum rules are overviewed with an emphasize on the practical applications of this method to the physics of light and heavy hadrons.

High Energy Physics - Phenomenology · Physics 2017-08-23 Alexander Khodjamirian

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…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

We present a new formula for the gauge charge in the causal formalism for the QCD case.

High Energy Physics - Theory · Physics 2021-11-09 D. R. Grigore

The procedure of extracting the ground-state parameters from vacuum-to-vacuum and vacuum-to-hadron correlators within the method of sum rules is considered. The emphasis is laid on the crucial ingredient of this method - the effective…

High Energy Physics - Phenomenology · Physics 2014-11-20 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We present a compact review of the status of QCD spectral sum rules until 2022. We emphasize the recent progresses for determining the QCD input parameters ($\alpha_s$, running quark masses, quark and gluon condensates) where their…

High Energy Physics - Phenomenology · Physics 2023-08-08 Stephan Narison