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We develop a three-point formalism to treat vacuum susceptibilities used for the coupling of currents to hadrons within the method of QCD Sum Rules. By introducing nonlocal condensates, with the space-time structure taken from fits to…

高能物理 - 唯象学 · 物理学 2009-10-30 Mikkel B. Johnson , Leonard S. Kisslinger

Perturbation expansions appear to be divergent series in many physically interesting situations, including in quantum field theories like quantum electrodynamics (QED) and quantum chromodynamics (QCD), where the perturbative coefficients…

高能物理 - 唯象学 · 物理学 2018-01-26 Irinel Caprini , Jan Fischer , Gauhar Abbas , B. Ananthanarayan

We propose a new approach to construct QCD sum rules for the pi NN coupling constant, g, starting from the vacuum-to-pion correlation function of the interpolating fields of two nucleons and taking its matrix element with respect to nucleon…

核理论 · 物理学 2009-11-07 Yoshihiko Kondo , Osamu Morimatsu

Double parton distribution functions (DPDFs) are used in the QCD description of double parton scattering. The DPDFs evolve with hard scales through QCD evolution equations which obey nontrivial momentum and valence quark number sum rules.…

高能物理 - 唯象学 · 物理学 2014-07-30 Krzysztof Golec-Biernat , Emilia Lewandowska

The gauge invariant two-point correlator for the gluon field strength tensor is analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the…

高能物理 - 唯象学 · 物理学 2008-11-26 H. G. Dosch , M. Eidemueller , M. Jamin

We propose a conjecture about the detailed structure of the conformal symmetry breaking term in the generalized Crewther relation. We conclude that this conjecture leads to new relations between the QCD expansion coefficients of the Adler…

高能物理 - 唯象学 · 物理学 2011-03-10 A. L. Kataev , S. V. Mikhailov

We study the properties of the $\Delta$ isobar in the symmetric and asymmetric nuclear matter using the QCD sum rules approach based on the energy dispersion relation. Allowing for different continuum thresholds for the polarization tensors…

核理论 · 物理学 2018-09-05 Jesuel Marques L. , Su Houng Lee , Aaron Park , R. D. Matheus , Kie Sang Jeong

We present progress in the QCD analysis of the Bjorken sum rule at low momentum transfers. We study asymptotic structure of the perturbative QCD expansion at low $Q^2$ scales based on analysis of recent accurate data on the Bjorken sum rule…

高能物理 - 唯象学 · 物理学 2013-02-19 V. L. Khandramai , O. P. Solovtsova , O. V. Teryaev

A sum rule has been derived for the static pair correlation function. This rule is the extension of the well-known equation that relates density fluctuation to compressibility. The obtained sum rule is applied to the Bose and Fermi ideal…

统计力学 · 物理学 2007-05-23 A. Yu. Cherny

We introduce the analog of Kramers-Kronig dispersion relations for correlators of four scalar operators in an arbitrary conformal field theory. The correlator is expressed as an integral over its 'absorptive part', defined as a double…

高能物理 - 理论 · 物理学 2020-07-06 Dean Carmi , Simon Caron-Huot

Slight sophistications of the QCD sum-rule formalism may have great impact on the reliability of predicted hadron observables, as exemplified for the case of heavy-meson decay constants.

高能物理 - 唯象学 · 物理学 2012-06-07 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The double ratio $(f_{B_s}/f_{B_d})/(f_{D_s}/f_{D_d})$ is calculated by QCD sum rules in heavy quark effective theory (HQET), both numerically and analytically. Our expression for the double ratio shows explicitly the dependence on the…

高能物理 - 唯象学 · 物理学 2016-09-06 Tao Huang , Zuo-Hong Li , Chuan-Wang Luo

We review some recent applications of QCD sum rules to $B$-decays. These include the determination of the leptonic constant $f_B$ and of the semileptonic transition amplitudes of the $B$-meson into negative and positive parity charmed…

高能物理 - 唯象学 · 物理学 2007-05-23 P. Colangelo , G. Nardulli , N. Paver

The $J/\psi D D$ form factor is evaluated in a QCD sum rule calculation for both $D$ and $J/\psi$ off-shell mesons. We study the double Borel sum rule for the three point function of two pseudoscalar and one vector meson current. We find…

高能物理 - 唯象学 · 物理学 2009-11-07 R. D. Matheus , F. S. Navarra , M. Nielsen , R. Rodrigues da Silva

We use the method of double pole QCD sum rule which is basically a fit with two exponentials of the correlation function, where we can extract the masses and decay constants of mesons as a function of the Borel mass. We apply this method to…

高能物理 - 唯象学 · 物理学 2016-10-03 M. S. Maior de Sousa , R. Rodrigues da Silva

The gauge invariant two-point correlator for the gluon field strength tensor in analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Eidemuller , H. G. Dosch , M. Jamin

Starting from the Lorentzian inversion formula, we derive a dispersion relation which computes a four-point function in 1d CFTs as an integral over its double discontinuity. The crossing symmetric kernel of the integral is given explicitly…

高能物理 - 理论 · 物理学 2024-10-16 Davide Bonomi , Valentina Forini

We present a general all-order formulation of Sudakov resummation in QCD in terms of dispersion integrals. We show that the Sudakov exponent can be written as a dispersion integral over spectral density functions, weighted by characteristic…

高能物理 - 唯象学 · 物理学 2008-11-26 Einan Gardi , Georges Grunberg

We present an extension of the QCD sum rule method in the external fields so as to determine the induced pseudoscalar coupling constant g_P, which tests the validity of the partially conserved axial current (PCAC) hypothesis. This is…

核理论 · 物理学 2010-04-19 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

In previous papers of this series, we presented a formalism able to account for both statistical equilibrium of a multilevel atom and coherent and incoherent scatterings (partial redistribution). aims: This paper provides theoretical…

太阳与恒星天体物理 · 物理学 2017-11-15 V. Bommier