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The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply OPE. We study also the axial two-point…

High Energy Physics - Phenomenology · Physics 2015-09-17 Luigi Cappiello , Giancarlo D'Ambrosio , David Greynat

We obtain the operator product expansion of the self-energy in the O(N) non-linear $\sigma$-model to all orders in the coupling and the large momentum, and to next-to-leading order in 1/N. In the light of this result we discuss recent…

High Energy Physics - Phenomenology · Physics 2011-03-31 M. Beneke , V. M. Braun , N. Kivel

In logarithmic conformal field theory, primary fields come together with logarithmic partner fields on which the stress-energy tensor acts non-diagonally. Exploiting this fact and global conformal invariance of two- and three-point…

High Energy Physics - Theory · Physics 2015-06-26 Michael Flohr

Operator product expansion technique is analyzed in abelian and nonabelian nonsupersymmetric field theoretical models with confinement. Special attention is paid to the regimes where nonzero virtuality of vacuum fields is felt by external…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Shevchenko , Yu. Simonov

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear,…

High Energy Physics - Theory · Physics 2011-04-28 Luis F. Alday , Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira

We study the OPE of correlation functions of local operators in planar N=4 super Yang-Mills theory. The considered operators have an explicit spacetime dependence that is defined by twisting the translation generators with certain…

High Energy Physics - Theory · Physics 2018-01-18 Till Bargheer

We discuss the current use of the operator product expansion in QCD calculations. Treating the OPE as an expansion in inverse powers of an energy-squared variable (with possible exponential terms added), approximating the vacuum expectation…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jan Fischer , Ivo Vrkoc

We explore the OPE of certain twist operators in symmetric product ($S_N$) orbifold CFTs, extending our previous work arXiv:1804.01562 to the case of $\mathcal{N}=(4,4)$ supersymmetry. We consider a class of twist operators related to the…

High Energy Physics - Theory · Physics 2019-09-04 Thomas de Beer , Benjamin A. Burrington , Ian T. Jardine , A. W. Peet

The operator product expansion (OPE) of twist operators in the replica trick framework enables a long-distance expansion of the mutual information (MI) in conformal field theories (CFTs). In this expansion, the terms are labeled by primary…

High Energy Physics - Theory · Physics 2025-09-05 Cesar A. Agon , Horacio Casini , Umut Gürsoy , Guim Planella Planas

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

We derive a novel formula for the derivative of operator product expansion (OPE) coefficients with respect to a coupling constant. The formula only involves the OPE coefficients themselves, and no further input, and is in this sense…

Mathematical Physics · Physics 2015-06-18 J. Holland , S. Hollands

We establish conceptually important properties of the operator product expansion (OPE) in the context of perturbative, Euclidean $\varphi^{4}$-quantum field theory. First, we demonstrate, generalizing earlier results and techniques of…

Mathematical Physics · Physics 2013-11-25 Jan Holland , Stefan Hollands

We study the operator product expansion (OPE) of two identical scalar primary operators in the lightcone limit in a conformal field theory where a scalar is the operator with lowest twist. We see that in CFTs where both the stress tensor…

High Energy Physics - Theory · Physics 2020-03-11 Atanu Bhatta , Soham Ray

We introduce a symmetric operad whose algebras are the Operator Product Expansion (OPE) Algebras of quantum fields. There is a natural classical limit for the algebras over this operad and they are commutative associative algebras with…

High Energy Physics - Theory · Physics 2021-04-13 Nikolay M. Nikolov

String theory is currently the most promising theory to explain the spectrum of the elementary particles and their interactions. One of its most important features is its large symmetry group, which contains the conformal transformations in…

High Energy Physics - Theory · Physics 2007-05-23 Kris Thielemans

We prove $L^p$-$L^q$-estimates for the Restriction-Extension operator acting on block-radial functions with the aid of new oscillatory integral estimates and interpolation results in mixed Lorentz spaces. Similar techniques apply to the…

Analysis of PDEs · Mathematics 2025-07-01 Rainer Mandel

In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider non-rational theories with a gap in the spectrum from the…

High Energy Physics - Theory · Physics 2021-11-10 Carlos Cardona , Cynthia Keeler , William Munizzi

We develop a systematic and general approach to study the effective Higgs Lagrangian in a supersymmetric framework in which the Higgs fields in the visible sector couple weakly to another sector. The extra sector may be strongly coupled in…

High Energy Physics - Phenomenology · Physics 2017-09-18 Piyush Kumar , Daliang Li , David Poland , Andreas Stergiou

Celestial operator product expansions (OPEs) arise from the collinear limit of scattering amplitudes and play a vital role in celestial holography. In this paper, we derive the celestial OPEs of massless fields in string theory from the…

High Energy Physics - Theory · Physics 2021-10-25 Hongliang Jiang

In this work, we fix the leading term in the operator algebra of light-transformed operators in the context of flat space holography. Starting with light-transformed graviton correlators, we show that the OPE obtained by taking the…

High Energy Physics - Theory · Physics 2025-08-21 Sourish Banerjee , Rudranil Basu