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We discuss two dimensional $QCD (N_c\to\infty)$ with fermions in the fundamental as well as adjoint representation. We find factorial growth $\sim (g^2N_c\pi)^{2k}\frac{(2k)!(-1)^{k-1}}{(2 \pi)^{2k}}$ in the coefficients of the large order…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ariel R. Zhitnitsky

The idea of quark-hadron duality is developed and applied to integral sum rules for the photoexcitation of meson resonances. Some applications of the presented approach in the light and heavy quark sectors are made, and the role of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. B. Gerasimov

Detailed predictions for the scaled pion-photon transition form factor are given, derived with the method of light-cone sum rules and using pion distribution amplitudes with two and three Gegenbauer coefficients obtained from QCD sum rules…

High Energy Physics - Phenomenology · Physics 2014-03-03 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

The nucleon and its negative-parity excited states are examined in a maximum entropy method analysis of QCD sum rules. First, we rederive the parity projected sum rules for baryons using forward correlation functions. Doing this, the method…

High Energy Physics - Phenomenology · Physics 2015-03-20 Keisuke Ohtani , Philipp Gubler , Makoto Oka

In the paper, we investigate the charmed meson rare decay process $D^+ \to \pi^+\nu\bar\nu$ by using QCD sum rules approach. Firstly, the pion twist-2 and twist-3 distribution amplitude $\xi$-moments $\langle\xi_{2;\pi}^n\rangle|_\mu$ up to…

High Energy Physics - Phenomenology · Physics 2024-01-09 Yu Chen , Hai-Bing Fu , Tao Zhong , Sheng-Bo Wu , Dong Huang

This note is based on the summary of our book entitled "Non-perturbative field theoryfrom two dimensional conformal field theory to QCD in four dimensions", published recently by Cambridge University Press. It includes 436 pages. The book…

High Energy Physics - Theory · Physics 2010-05-11 Yitzhak Frishman , Jacob Sonnenschein

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 propose a new estimate of the process $B \to (\rho, \omega)+ \gamma$ by using the light-cone QCD sum rule. The aim is to choose the chiral quark current operators in order to eliminate the uncertainty arising from the chiral-even…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tao Huang , Zuohong Li , Haidong Zhang

In this work, we calculate the mass spectrum of doubly heavy baryons with the diquark model in terms of the QCD sum rules. The interpolating currents are composed of a heavy diquark field and a light quark field. Contributions of the…

High Energy Physics - Phenomenology · Physics 2015-05-28 Liang Tang , Xu-Hao Yuan , Cong-Feng Qiao , Xue-Qian Li

I describe how simulations of lattice QCD using the path integral formulation provide the two basic quantum mechanical properties of QCD, its ground state in which correlation functions are calculated, and Fock state wavefunctions between…

High Energy Physics - Lattice · Physics 2023-01-20 Rajan Gupta

The shape of hadronic distribution amplitudes (DAs) is a critical issue for the perturbative QCD of hard exclusive processes. Recent CLEO data on gamma gamma* -> pi^0 form factor clearly favor a pion DA close to the asymptotic form. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

In this work, we propose a method to compute the gravitational form factor $D(Q^2)$ in holographic QCD by exploiting the remarkable correspondence between semi-classical light-front QCD and semi-classical field theories in wrapped spacetime…

High Energy Physics - Theory · Physics 2024-03-12 Yang Li , James P. Vary

In this short note the QED extension of the nucleon spin sum rule is considered. To this end, the leading-order (LO) QED evolution kernels for the quark/gluon helicity and orbital-angular-momentum (OAM) distributions are calculated, as well…

High Energy Physics - Phenomenology · Physics 2022-04-26 Miguel G. Echevarria

We perform a QCD sum rule analysis for the $f_0$ light tetraquark taking into account the contribution arising from the two pion intermediate state. With the interpolating currents of the different chiral combinations of scalar and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hee-Jung Lee , N. I. Kochelev

Light front wave functions motivated by holographic constructions are used to study Bloom-Gilman duality of deep inelastic scattering. Separate expressions for structure functions in terms of quark and hadronic degrees of freedom are…

High Energy Physics - Phenomenology · Physics 2021-05-26 Aiden B. Sheckler , Gerald A. Miller

The QCD sum-rule method has been widely used in studying various baryon properties. For a given problem, there are usually more than one sum rules and they do not work equally well. In this paper, we point out that chirality plays an…

High Energy Physics - Phenomenology · Physics 2009-10-30 Xuemin Jin , Jian Tang

We derive the sum rule for the spectral function of the stress-energy tensor in the bulk (uniform dilatation) channel in a general class of strongly coupled field theories. This class includes theories holographically dual to a theory of…

High Energy Physics - Phenomenology · Physics 2015-05-27 Paul M. Hohler , Mikhail A. Stephanov

We apply the QCD sum rule method to systematically study excited light meson operators and calculate their decay constants. These operators are constructed by explicitly adding one covariant derivative to the quark-antiquark pair. In total,…

High Energy Physics - Phenomenology · Physics 2025-10-07 Wei-Han Tan , Wen-Ying Liu , Hong-Zhou Xi , Hua-Xing Chen

Starting from the QCD sum rules with nonlocal condensates for the pion distribution amplitude, we derive another sum rule for its derivative and its "integral" derivatives---defined in this work. We use this new sum rule to analyze the fine…

High Energy Physics - Phenomenology · Physics 2014-11-21 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Nishikawa , S. Saito , Y. Kondo
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