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Related papers: OPE of the pseudoscalar gluonium correlator in mas…

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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 analytically calculate higher order corrections to coefficient functions of the operator product expansion (OPE) for the Euclidean correlator of two energy-momentum tensors in massless QCD. These are the three-loop contribution to the…

High Energy Physics - Phenomenology · Physics 2015-06-11 M. F. Zoller , K. G. Chetyrkin

In this paper we study the renormalization of the product of two operators $O_1=-\frac{1}{4} G^{\mu \nu}G_{\mu \nu}$ in QCD. An insertion of two such operators $O_1(x)O_1(0)$ into a Greens function produces divergent contact terms for…

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

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

We calculate the three-loop Wilson coefficients of all physically relevant dimension-four operators, i.e. $G_{\mu\nu}^a G^{a,\mu\nu}$, $m_i\bar q_j q_j$ and $m_i m_j m_k^2$, in the short-distance expansion of the time-ordered product of a…

High Energy Physics - Phenomenology · Physics 2024-12-24 Robin Brüser , André H. Hoang , Maximilian Stahlhofen

Using the operator product expansion we show that the $O(1/p^2)$ correction to the perturbative expressions for the gluon propagator and the strong coupling constant resulting from lattice simulations in the Landau gauge are due to a…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pène , J. Rodríguez-Quintero

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

The operator product expansion (OPE) for heavy-light-quark pseudoscalar mesons (D-mesons and B-mesons) in medium is determined, both for a moving meson with respect to the surrounding medium as well as for a meson at rest. First of all, the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Sven Zschocke , Thomas Hilger , Burkhard Kampfer

We apply a recently constructed model of analytic QCD in the Operator Product Expansion (OPE) analysis of the tau lepton decay data in the V+A channel. The model has the running coupling A(Q^2) with no unphysical singularities, i.e., it is…

High Energy Physics - Phenomenology · Physics 2015-06-11 Gorazd Cvetič , Cristián Villavicencio

We present an algorithm for constructing the Wilson operator product expansion (OPE) for perturbative interacting quantum field theory in general Lorentzian curved spacetimes, to arbitrary orders in perturbation theory. The remainder in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands

Because of the infrared renormalons, it is difficult to get power accuracy in the traditional approach to the Wilson's operator product expansion. Based on a new perturbative renormalization scheme for power-divergent operators, I propose a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

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

Charmonium sum rules for pseudoscalar 0^{-+} state eta_c(1S) are analyzed within perturbative QCD and Operator Product Expansion. The perturbative part of the pseudoscalar correlator is considered at alpha_s^2 order and the contribution of…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Zyablyuk

We study the transverse spin structure of the squeezed limit of the three-point energy correlator, $\langle \mathcal{E}(\vec n_1) \mathcal{E}(\vec n_2) \mathcal{E}(\vec n_3) \rangle$. To describe its all orders perturbative behavior, we…

High Energy Physics - Phenomenology · Physics 2022-09-07 Hao Chen , Ian Moult , Hua Xing Zhu

A generalization of the operator product expansion for Euclidean correlators of gauge invariant QCD currents is presented. Each contribution to the modified expansion, which is based on a delocalized multipole expansion of a perturbatively…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

A method for calculating coefficient functions of the operator product expansion, which was previously derived for the non-singlet case, is generalized for the singlet coefficient functions. The resulting formula defines coefficient…

High Energy Physics - Phenomenology · Physics 2013-05-30 Alexander V. Kisselev

Nonlocal gluon condensates are vacuum expectations of the product of gluon field strength tensors. Short-distance expansions of two-, three-, and four-gluon condensates are presented up to dimension-8 local operators. We propose a method…

High Energy Physics - Phenomenology · Physics 2022-10-05 Alexandr V. Pimikov

The operator product expansion for ``small'' Wilson loops in {\cal N}=4, d=4 SYM is studied. The OPE coefficients are calculated in the large N and g_{YM}^2 N limit by exploiting the AdS/CFT correspondence. We also consider Wilson surfaces…

High Energy Physics - Theory · Physics 2016-08-25 David Berenstein , Richard Corrado , Willy Fischler , Juan Maldacena

The operator product expansion (OPE) of the Wilson surface operators in six-dimensional (2, 0) superconformal field theory is studied from AdS/CFT correspondence in this paper. We compute the OPE coefficients of the chiral primary operators…

High Energy Physics - Theory · Physics 2008-11-26 Bin Chen , Chang-Yong Liu , Jun-Bao Wu

We review the status of the practical operator product expansion (OPE), when applied to two-point correlators of QCD currents which interpolate to mesonic resonances, in view of the violations of local quark-hadron duality. Covered topics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Hofmann
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