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We use improved truncated Operator Product Expansion (OPE) for the Adler function, involving two types of terms with dimension $D=6$, in the double-pinched Borel-Laplace Sum Rules and Finite Energy Sum Rules for the V+A channel strangeless…

High Energy Physics - Phenomenology · Physics 2022-05-04 Cesar Ayala , Gorazd Cvetic , Diego Teca

We construct improved QCD sum rules for the nucleon magnetic moments by implementing direct-instanton contributions to the operator product expansion of the nucleon correlator in a magnetic background field. The instanton contributions are…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hilmar Forkel

It is argued that whereas supersymmetry requires the instanton contribution to the expectation value of a straight Wilson line in the N=4 supersymmetric SU(2) Yang-Mills theory to vanish, it is not required to vanish in the case of a…

High Energy Physics - Theory · Physics 2009-11-07 Massimo Bianchi , Michael B. Green , Stefano Kovacs

The problem of kinematic effects in the gluon and color dipole cascades is addressed in the large N_c limit of SU(N_c) Yang--Mills theory. We investigate the tree level multi-gluon components of the gluon light cone wave functions in the…

High Energy Physics - Phenomenology · Physics 2013-05-29 Leszek Motyka , Anna M. Stasto

Deep inelastic scattering of $\mathcal{R}$-currents and the scattering of a small dipole on finite length hot $\mathcal{N}=4$ SYM matter are discussed. In each case we find the scale when scattering becomes strong is determined by a…

High Energy Physics - Theory · Physics 2009-05-13 A. H. Mueller , A. I. Shoshi , Bo-Wen Xiao

For special kinematic configurations involving a single momentum scale, certain standard relations, originating from the Slavnov-Taylor identities of the theory, may be interpreted as ordinary differential equations for the ``kinetic term''…

High Energy Physics - Phenomenology · Physics 2020-10-28 A. C. Aguilar , M. N. Ferreira , J. Papavassiliou

4D CFTs have a scale anomaly characterized by the coefficient $c$, which appears as the coefficient of logarithmic terms in momentum space correlation functions of the energy-momentum tensor. By studying the CFT contribution to 4-point…

High Energy Physics - Theory · Physics 2018-09-26 Marc Gillioz , Xiaochuan Lu , Markus A. Luty

Instanton contributions to the Laplace sum-rules for correlation functions of scalar gluonic currents are calculated. The role of the constant low-energy theorem term, whose substantial contribution is unique to the leading Laplace sum-rule…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Harnett , T. G. Steele , V. Elias

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

We use a dispersion relation in conjunction with the operator product expansion (OPE) to derive model independent sum rules for the dynamic structure functions of systems with large scattering lengths. We present an explicit sum rule for…

High Energy Physics - Phenomenology · Physics 2015-05-20 Walter D. Goldberger , Ira Z. Rothstein

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

We present an off-shell dispersive analysis of the graviton-gluon-gluon ($TJJ$) vertex, extending previous investigations carried out in both QED and QCD. Within the framework of a non-Abelian gauge theory, we extract the conformal anomaly…

High Energy Physics - Phenomenology · Physics 2025-08-22 Claudio Corianò , Stefano Lionetti , Dario Melle , Leonardo Torcellini

The operator product expansion (OPE) for the difference of vector and axial current correlators is analyzed for complex values of momentum q^2. The vector and axial spectral functions, taken from hadronic tau-decay data, are treated with…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. L. Ioffe , K. N. Zyablyuk

The spectrum of glueballs below 4 GeV in the SU(3) pure-gauge theory is investigated using Monte Carlo simulations of gluons on several anisotropic lattices with spatial grid separations ranging from 0.1 to 0.4 fm. Systematic errors from…

High Energy Physics - Lattice · Physics 2008-11-26 Colin J. Morningstar , Mike Peardon

Spin correlations in an interacting electron liquid are studied in the high-frequency limit and in both two and three dimensions. The third-moment sum rule is evaluated and used to derive exact limiting forms (at both long- and…

Strongly Correlated Electrons · Physics 2009-11-10 G. S. Atwal , N. W. Ashcroft

The detailed analysis of nonperturbative contributions to the electromagnetic quark form factor is performed within the framework of the instanton liquid model (ILM) of the QCD vacuum. The method of the path-ordered Wilson exponentials is…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. E. Dorokhov , I. O. Cherednikov

Contributions of fermions to the mass of the scalar glueball $0^{++}$ are calculated at two-loop level in the framework of QCD sum rules. It obviously changes the coefficients in the operator product expansion (OPE) and shifts the mass of…

High Energy Physics - Phenomenology · Physics 2011-03-28 Xu-Hao Yuan , Liang Tang

Recently, there has been renewed interest in studies of criticality in the spin quantum Hall effect, realized in the Altland-Zirnbauer symmetry class C of disordered, noninteracting fermions in two spatial dimensions. In our study, we…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Maksim Parfenov , Igor Burmistrov

This talk reviews the recent progress in the extraction of bound-state characteristics from the operator-product expansion (OPE) for field-theory correlators, which constitutes the basis of the method of QCD sum rules. This progress is…

High Energy Physics - Phenomenology · Physics 2012-02-22 Dmitri Melikhov

The importance of the nonlinear corrections on the momentum sum rule is investigated on the initial scale $Q_{0}^2$. Nonlinear corrections are found to play an indispensable role in the singlet and gluon momentum sum rule in the high-order…

High Energy Physics - Phenomenology · Physics 2024-08-20 G. R. Boroun