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Related papers: Finite-width Gaussian sum rules for $0^{-+}$ pseud…

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Based on a semiclassical expansion for quantum chromodynamics in the instanton liquid background, the correlation function of the $0^{++}$ scalar glueball current is given, and the properties of the $0^{++}$ scalar glueball are studied in…

High Energy Physics - Phenomenology · Physics 2010-11-12 Shuiguo Wen , Zhenyu Zhang , Jueping Liu

In the framework of a semi-classical expansion for quantum chromodynamics in the instanton liquid background, the correlation function of the $0^{++}$ scalar glueball current is given. Besides the pure classical and quantum contributions,…

High Energy Physics - Phenomenology · Physics 2010-12-09 Shuiguo Wen , Zhenyu Zhang , Jueping Liu

Although marginally more complicated than the traditional Laplace sum-rules, Gaussian sum-rules have the advantage of being able to probe excited and ground states with similar sensitivity. Gaussian sum-rule analysis techniques are applied…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Harnett , T. G. Steele

Topological charge screening in the QCD vacuum is found to provide crucial nonperturbative contributions to the short-distance expansion of the pseudoscalar (0^{-+}) glueball correlator. The screening contributions enter the Wilson…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hilmar Forkel

Several key problems of QCD sum rules in the spin-0 glueball channels are resolved by implementing nonperturbative short-distance physics from direct instantons and topological charge screening. A lattice-based instanton size distribution…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hilmar Forkel

Instanton effects and three-loop perturbative contributions are incorporated into QCD sum-rule analyses of pseudoscalar ($J^{PC}=0^{-+}$) gluonium. Gaussian sum-rules are shown to be superior to Laplace sum-rules in optimized predictions…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ailin Zhang , T. G. Steele

The impact of QCD instantons on scalar glueball properties is studied in the framework of an instanton-improved operator product expansion (IOPE) for the 0^{++} glueball correlation function. Direct instanton contributions are found to…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hilmar Forkel

Higher-loop corrections to the pseudoscalar ($0^{-+}$) gluonium correlation function will be used to obtain the leading gluon condensate contributions to the subtraction-independent QCD sum-rules. The effect of these higher-loop corrections…

High Energy Physics - Phenomenology · Physics 2021-07-01 D. Asner , R. B. Mann , J. L. Murison , T. G. Steele

Nonperturbative Wilson coefficients of the operator product expansion (OPE) for the spin-0 glueball correlators are derived and analyzed. A systematic treatment of the direct instanton contributions is given, based on realistic instanton…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hilmar Forkel

We include instanton effects in QCD sum rules for coupled scalar glueballs and mesons. We find a light glueball/sigma as in earlier studies without instantons, but in a lattice-type pure instanton model the light glueball/sigma is not…

High Energy Physics - Phenomenology · Physics 2009-11-07 Leonard S. Kisslinger , Mikkel B. Johnson

We outline a comprehensive study of spin-0 glueball properties which, in particular, keeps track of the topological gluon structure. Specifically, we implement (semi-hard) topological instanton physics as well as topological charge…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hilmar Forkel

Gaussian sum-rules relate a QCD prediction to a two-parameter Gaussian-weighted integral of a hadronic spectral function, providing a clear conceptual connection to quark-hadron duality. In contrast to Laplace sum-rules, the Gaussian…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , D. Harnett , G. Orlandini

We investigate the impact of instantons on scalar glueball properties in a largely model-independent analytical approach based on the instanton-improved operator product expansion (IOPE) of the $0^{++}$ glueball correlator. The instanton…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Forkel

In this paper, we study instanton contributions to the correlator of the hybrid current $g\bar q \sigma_{\mu\nu}G^a_{\nu\mu}T^a q$. These contributions are then included in a QCD sum-rule analysis of the isoscalar $0^{++}$ hybrid mass. We…

High Energy Physics - Phenomenology · Physics 2013-05-30 Zhu-feng Zhang , Qing Xu , Hong-ying Jin , T. G. Steele

We develop an inverse matrix method to solve for resonance masses from a dispersion relation obeyed by a correlation function. Given the operator product expansion (OPE) of a correlation function in the deep Euclidean region, we obtain the…

High Energy Physics - Phenomenology · Physics 2022-01-05 Hsiang-nan Li

The $0^{++}$ glueball mass is analyzed in the QCD sum rules. We show that in order to determine the $0^{++}$ glueball mass by using the QCD sum rules method, it is necessary to clarify the following three ingredients: (1) to choose the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tao Huang , HongYing Jin , Ailin Zhang

Within the framework of the generalized linear sigma model, a comprehensive analysis of scalar and pseudoscalar glueballs and their mixing with mesons is presented. The Lagrangian of the model contains two chiral nonets, a quark-antiquark…

High Energy Physics - Phenomenology · Physics 2025-08-14 Amir H. Fariborz

Contrary to some previous claims, we find a sizable instanton contribution to the finite energy sum rule used to extract the value of the strong coupling from the measured $\tau$ decay widths. It is of the same order of magnitude as…

High Energy Physics - Phenomenology · Physics 2009-10-22 I. I. Balitsky , M. Beneke , V. M. Braun

There is a need to go beyond the narrow resonance approximation for QCD sum-rule channels which are likely to exhibit sensitivity to broad resonance structures. We first discuss how the first two Laplace sum rules are altered when one goes…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. S. Deakin , V. Elias , A. H. Fariborz , Ying Xue , Fang Shi , T. G. Steele

We study the contribution of instantons to the binding and the mass of the lightest scalar glueball, in gluondynamics. We show that the short-range correlations introduced by such non-perturbative vacuum fluctuations are sufficient to give…

High Energy Physics - Phenomenology · Physics 2009-07-18 M. C. Tichy , P. Faccioli
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