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Related papers: The light-ray OPE and conformal colliders

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The fundamental ingredients that build the observables in conformal field theory are the spectrum of operators and the OPE coefficients, or equivalently, the two- and three-point functions of the theory. Recently an inversion formula…

High Energy Physics - Theory · Physics 2018-04-06 Carlos Cardona

We study light-ray operators constructed from the energy-momentum tensor in $d$-dimensional Lorentzian conformal field theory. These include in particular the average null energy operator. The commutators of parallel light-ray operators on…

High Energy Physics - Theory · Physics 2019-01-02 Clay Cordova , Shu-Heng Shao

We perform a systematic operator product expansion of the most general form of the nucleon scattering tensor $W_{\mu \nu}$ including electro-magnetic and weak interaction processes. Finite quark masses are taken into account and a number of…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Maul , B. Ehrnsperger , E. Stein , A. Schäfer

We compute tree-level celestial operator product expansions (OPE) in a bosonic sub-sector of the Berkovits-Witten conformal supergravity from the scattering amplitudes in the MHV configuration. While the OPE between a leading soft graviton…

High Energy Physics - Theory · Physics 2025-11-06 Nirmal Ghorai , Partha Paul , Nemani V. Suryanarayana

We describe how to implement the conformal bootstrap program in the context of the embedding space OPE formalism introduced in previous work. To take maximal advantage of the known properties of the scalar conformal blocks for…

High Energy Physics - Theory · Physics 2025-04-14 Jean-François Fortin , Wen-Jie Ma , Valentina Prilepina , Witold Skiba

We discuss the general covariance of operator product expansion in D-dimensional Euclidean conformal field theories. We propose to organise the expansion in powers of geodesic distance between two insertion points and to use the tangent…

High Energy Physics - Theory · Physics 2026-03-20 Anatoly Konechny

We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave…

High Energy Physics - Theory · Physics 2018-07-24 Miguel S. Costa , Vasco Goncalves , Joao Penedones

Given a critical quantum spin chain described by a conformal field theory (CFT) at long distances, it is crucial to understand the universal conformal data. One most important ingredient is the operator product expansion (OPE) coefficients,…

Strongly Correlated Electrons · Physics 2023-04-26 Yuhan Liu , Yijian Zou , Shinsei Ryu

We study correlation functions involving generalized ANEC operators of the form $\int dx^- \left(x^-\right)^{n+2} T_{--}(\vec{x})$ in four dimensions. We compute two, three, and four-point functions involving external scalar states in both…

High Energy Physics - Theory · Physics 2021-05-19 Alexandre Belin , Diego M. Hofman , Grégoire Mathys , Matthew T. Walters

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

Using the nonperturbative functional renormalization group (FRG) within the Blaizot-M\'endez-Galain-Wschebor approximation, we compute the operator product expansion (OPE) coefficient $c_{112}$ associated with the operators…

High Energy Physics - Theory · Physics 2022-04-04 Félix Rose , Carlo Pagani , Nicolas Dupuis

We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, $\langle TT {\cal O } \rangle,$ in general CFTs. We also constrain the gravitational anomaly…

High Energy Physics - Theory · Physics 2017-12-06 Clay Cordova , Juan Maldacena , Gustavo J. Turiaci

We identify a nontrivial yet tractable quantum field theory model with space/time anisotropic scale invariance, for which one can exactly compute certain four-point correlation functions and their decompositions via the operator-product…

High Energy Physics - Theory · Physics 2021-09-15 Hidehiko Shimada , Hirohiko Shimada

The operator product expansion (OPE), truncated in dimension, is employed in many contexts. An example is the extraction of the strong coupling, $\alpha_s$, from hadronic $\tau$-decay data, using a variety of analysis methods based on…

High Energy Physics - Phenomenology · Physics 2019-10-16 Diogo Boito , Maarten Golterman , Kim Maltman , Santiago Peris

We investigate the correlators of flavor non-singlet bilinear operators calculated on the lattice at short distances. In the continuum theory, non-perturbative effects are encoded in the form of the operator product expansion (OPE). We test…

High Energy Physics - Lattice · Physics 2015-12-01 M. Tomii , G. Cossu , B. Fahy , H. Fukaya , S. Hashimoto , J. Noaki

Given an observable and its operator product expansion (OPE), we present expressions that carefully disentangle truncated sums of the perturbative series in powers of $\alpha$ from the non-perturbative (NP) corrections. This splitting is…

High Energy Physics - Theory · Physics 2019-04-24 Cesar Ayala , Xabier Lobregat , Antonio Pineda

We show that certain classes of apparently unprotected operators in N=4 SYM_4 do not receive quantum corrections as a consequence of a partial non-renormalization theorem for the 4-point function of chiral primary operators. We develop…

High Energy Physics - Theory · Physics 2009-11-07 G. Arutyunov , B. Eden , A. C. Petkou , E. Sokatchev

We study the behaviour of the conformal block expansions of scalar fivepoint Lorentzian conformal correlators in the limit where multiple cross ratios approach zero. Since this limit is controlled by intermediate operators with large spin,…

High Energy Physics - Theory · Physics 2026-02-03 Pulkit Agarwal

We give a new perspective on the Lorentzian OPE inversion formula of arXiv:1703.00278, building on arXiv:2302.06469. We introduce an ``auxiliary'' fourpoint function that can be related to the traditionally defined ones via a Radon…

High Energy Physics - Theory · Physics 2025-01-09 Pulkit Agarwal , Richard Brower , Timothy Raben , Chung-I Tan

Assuming the existence of crossing symmetric celestial OPE, we propose a method to reconstruct four-point massless scattering amplitudes in the framework of celestial holography. This method relies only on CFT techniques and a remarkable…

High Energy Physics - Theory · Physics 2025-03-28 Reiko Liu , Wen-Jie Ma
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