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The gap Delta = 4 pi f_pi ~ 1.2 GeV of spontaneous chiral symmetry breaking is introduced as a scale delineating resonance and continuum regions in the QCD spectral sum rules for vector mesons. Basic current algebra results are easily…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. Marco , W. Weise

A distinctive feature of the presence of spontaneous chiral symmetry breaking in QCD is the condensation of low modes of the Dirac operator near the origin. The rate of condensation must be equal to the slope of (Mpi^2 Fpi^2)/2 with respect…

High Energy Physics - Phenomenology · Physics 2015-03-25 Georg P. Engel , Leonardo Giusti , Stefano Lottini , Rainer Sommer

The sum rules serve a powerful tool to study the nucleon structure by providing a bridge between the statical properties of the nucleon (such as electrical charge, and magnetic moment) and the dynamical properties (e.g. the transition…

High Energy Physics - Phenomenology · Physics 2010-03-02 M. Gorchtein , D. Drechsel , M. M. Giannini , E. Santopinto

We analytically study two-color QCD with an even number of flavors at high baryon density. This theory is free from the fermion sign problem. Chiral symmetry is broken spontaneously by the diquark condensate. Based on the symmetry breaking…

High Energy Physics - Phenomenology · Physics 2009-09-25 Takuya Kanazawa , Tilo Wettig , Naoki Yamamoto

QCD sum-rules are related to an integral of a hadronic spectral function, and hence must satisfy integral inequalities which follow from positivity of the spectral function. Development of these Holder inequalities and their application to…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. G. Steele

The temperature dependence of the mass, leptonic decay constant, and width of heavy-light quark peseudoscalar and vector mesons is obtained in the framework of thermal Hilbert moment QCD sum rules. The leptonic decay constants of both…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. A. Dominguez , M. Loewe , J. C. Rojas

QCD sum rules for decay constants of heavy mesons with $u$ or $d$ quark yield for $B$ mesons much less isospin breaking than lattice QCD but good agreement for $D$ mesons.

High Energy Physics - Phenomenology · Physics 2016-12-06 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

QCD sum rules for the determination of form factors of $\Lambda_b$ and $\Lambda_c$ semileptonic decays are investigated. With a form for the baryonic current appropriate for the limits of the heavy quark symmetries, the different tensor…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Marques de Carvalho , F. S. Navarra , M. Nielsen , E. Ferreira , H. G. Dosch

We show that at certain values of QCD condensates the nucleon QCD sum rules with "pole+continuum" model for the hadron spectrum obtain an unphysical solution. This provides constrains for the values of condensates to be consistent with…

Nuclear Theory · Physics 2010-04-28 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

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…

High Energy Physics - Phenomenology · Physics 2019-04-09 Philipp Gubler , Daisuke Satow

Charge sum rules for quark fragmentation functions are studied. The simultaneous implementation of the conservation of electric and baryon charges, strangeness and isospin symmetry is achieved when the fragmentation to both mesons and…

High Energy Physics - Phenomenology · Physics 2025-09-24 D. Kotlorz , O. V. Teryaev

We investigate lowest-lying scalar meson properties predicted from QCD Laplace sum rules based upon isovector and isoscalar non-strange $\bar{q}q$ currents. The hadronic content of these sum rules incorporates deviations from the narrow…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Elias , A. H. Fariborz , Fang Shi , T. G. Steele

Utilizing QCD sum rules, we extract the temperature dependences of the spectral properties of the pseudo-scalar and scalar D mesons regarded as chiral partners. Besides the masses also decay constants are analyzed as the D meson yields in…

Nuclear Theory · Physics 2018-07-10 Thomas Buchheim , Thomas Hilger , Burkhard Kampfer , Stefan Leupold

We discuss the link between the chiral symmetry of QCD and the numerical results of the light-front quark model (LFQM), analyzing both the two-point and three-point functions of a pseudoscalar meson from the perspective of the vacuum…

High Energy Physics - Phenomenology · Physics 2015-06-23 Ho-Meoyng Choi , Chueng-Ryong Ji

It is shown how a chiral Lagrangian framework can be used to derive relationships connecting quark-level QCD correlation functions to mesonic-level two-point functions. Crucial ingredients of this connection are scale factor matrices…

High Energy Physics - Phenomenology · Physics 2016-01-12 Amir H. Fariborz , A. Pokraka , T. G. Steele

In this article, we calculate the contributions of the vacuum condensates up to dimension-6 including the $\mathcal{O}(\alpha_s)$ corrections to the quark condensates in the operator product expansion, then study the masses and decay…

High Energy Physics - Phenomenology · Physics 2020-01-03 Zhi-Gang Wang

The in-medium masses of the pseudoscalar open charm ($D$, $\bar D$, $D_s$ and $\bar {D_s}$) and open bottom ($B$, $\bar B$, $B_s$ and $\bar {B_s}$) mesons in hot asymmetric strange hadronic matter are studied within a QCD sum rule approach.…

High Energy Physics - Phenomenology · Physics 2025-08-05 Amruta Mishra

We derive thermal QCD sum rules for the correlation function of two vector currents in the rho-meson channel. It takes into account the leading non-perturbative corrections from the additional operators, which appear due to the breakdown of…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Mallik , Krishnendu Mukherjee

Borel transformed QCD sum rules conventionally use a real valued parameter (the Borel mass) for specifying the exponential weight over which hadronic spectral functions are averaged. In this paper, it is shown that the Borel mass can be…

High Energy Physics - Phenomenology · Physics 2014-07-09 Ken-Ji Araki , Keisuke Ohtani , Philipp Gubler , Makoto Oka

We explore, by a rather peculiar limit of QCD sum rules subject to a Borel transformation (realized by allowing the related Borel mass parameter to approach infinity), how the small difference of the masses of up and down quark translates…

High Energy Physics - Phenomenology · Physics 2019-06-20 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula