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Related papers: Nonlocal gluon condensates in QCD sum rules

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We consider the short-distance expansion of the product of two gluon field strength tensors connected by a straight-line-ordered Wilson line. The vacuum expectation value of this nonlocal operator is a common object in studies of the QCD…

High Energy Physics - Phenomenology · Physics 2023-01-11 V. M. Braun , K. G. Chetyrkin , B. A. Kniehl

The operator-product expansion(OPE) could be employed to obtain the lowest-order, nonlocal quark scalar condensate component of gluon vacuum polarization. In particular, nonlocal quark scalar condensate can be calculated by solving…

High Energy Physics - Phenomenology · Physics 2022-06-15 Jing-Hui Huang , Xue-Ying Duan , Chen Huan , Guang-Jun Wang , Xiang-Yun Hu

Although the methods of calculation of power corrections in QCD sum rules are well known, algebraic complexity rapidly grows with the increase of vacuum condensates' dimensions. Currently, state-of-the-art calculations include dimension 7…

High Energy Physics - Phenomenology · Physics 2010-11-01 A. G. Grozin

A prescription for the short-distance expansion of Euclidean current correlators based on a delocalized modification of the multipole expansion of perturbative short-distance coefficient functions is proposed that appreciates the presence…

High Energy Physics - Phenomenology · Physics 2013-05-29 A. H. Hoang , R. Hofmann

As an improvement of the QCD sum rule method to study modifications of light vector mesons in nuclear matter and/or at finite temperature, we calculate the Wilson coefficients of all independent gluonic non-scalar operators up to dimension…

High Energy Physics - Phenomenology · Physics 2017-07-04 HyungJoo Kim , Philipp Gubler , Su Houng Lee

We use a numerical method to obtain the weak coupling perturbative coefficients of local operators with lattice regularization. Such a method allows us to extend the perturbative expansions obtained so far by analytical Feynman diagrams…

High Energy Physics - Theory · Physics 2011-08-17 F. Di Renzo , G. Marchesini , E. Onofri

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. G. Dosch , M. Eidemueller , M. Jamin

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Eidemuller , H. G. Dosch , M. Jamin

In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A^2, m^2, m A^2, \ovl{\psi} \psi and m^3. We compute…

High Energy Physics - Phenomenology · Physics 2010-12-15 K. G. Chetyrkin , A. Maier

The magnitudes of gluon and four-quark condensates are found from the analysis of vector mesons consisting of light quarks (the families of $\rho$ and $\omega$ mesons) in the 3 loops approximation. The QCD model with infinite number of…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. V. Geshkenbein

The correlator of two gluonic operators plays an important role for example in transport properties of a Quark Gluon Plasma (QGP) or in sum rules for glueballs. In [1] an operator product expansion (OPE) at zero temperature was performed…

High Energy Physics - Phenomenology · Physics 2017-07-25 M. F. Zoller

We calculate the Wilson coefficients of dimension 6 gluon operators with spin indices in the two point correlation function of the heavy scalar, pseudoscalar, and axialvector currents. Our result completes the list of all Wilson…

High Energy Physics - Phenomenology · Physics 2018-03-14 HyungJoo Kim , Su Houng Lee

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

Sum rules for the nonperturbative piece of correlators (specifically, the vector current correlator) are discussed. The sum rule subtracting the perturbative part is of the superconvergent type. Thus it is dominated by the bound states and…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. J. Yndurain

We calculate the Wilson coefficients of all dimension 6 gluon operators with non zero spin in the correlation function between two heavy vector currents. For the twist-4 part, we first identify the three independent gluon operators, and…

Nuclear Theory · Physics 2009-11-06 Sungsik Kim , Su Houng Lee

We review a nonlocal-condensate approach and its application in QCD sum rules for the spacelike electromagnetic pion form factor. It is shown that the nonlocality of the condensates is a key point to include nonperturbative contributions to…

High Energy Physics - Phenomenology · Physics 2010-12-24 A. V. Pimikov , A. P. Bakulev , N. G. Stefanis

We study, by numerical simulations on a lattice, the behaviour of the gauge-invariant nonlocal quark condensates in the QCD vacuum both in the quenched approximation and with four flavours of dynamical staggered fermions. The correlation…

High Energy Physics - Lattice · Physics 2008-11-26 M. D'Elia , A. Di Giacomo , E. Meggiolaro

We present a detailed investigation of the spacelike pion's electromagnetic form factor using three-point QCD sum rules that exclusively involve nonlocal condensates. Our main methodological tools are a spectral density which includes…

High Energy Physics - Phenomenology · Physics 2009-06-25 A. P. Bakulev , A. V. Pimikov , N. G. Stefanis

In the presence of the nontrivial QCD ground state or vacuum, nonlocal condensates are used to characterize the quark or gluon propagator, or other Green functions of higher order. In this paper, we wish to show that, by taking the large…

High Energy Physics - Phenomenology · Physics 2007-05-23 W-Y. P. Hwang

One-loop quark contributions to the dimension-four gluon condensate term in the operator product expansion (OPE) of the scalar glueball correlation function are calculated in the MS-bar scheme in the chiral limit of $n_f$ quark flavours.…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Harnett , T. G. Steele
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