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In this paper we describe a renormalon-inspired model of twist--4 power corrections to the light-cone pion distribution amplitude, and compare it to the results obtained using the conformal wave expansion. We find that the overall…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jeppe R. Andersen

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional…

High Energy Physics - Theory · Physics 2024-05-16 N. Lambert , A. Lipstein , R. Mouland

We give a detailed Operator Product Expansion interpretation of the results for conformal 4-point functions computed from supergravity through the AdS/CFT duality. We show that for an arbitrary scalar exchange in AdS(d+1) all the…

High Energy Physics - Theory · Physics 2011-08-17 Eric D'Hoker , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

Using some techniques of conformal field theories, we find a closed expression for the contribution of leading twist operators and their descendants, obtained by adding total derivatives, to the operator product expansion (OPE) of two…

High Energy Physics - Phenomenology · Physics 2020-12-09 V. M. Braun , Yao Ji , A. N. Manashov

We study parity violation in the early universe by examining the four-point correlation function within the axion inflation model. Using an open quantum system formalism from our previous work, we calculate the influence functional to…

High Energy Physics - Phenomenology · Physics 2026-02-03 Hing-Tong Cho , Kin-Wang Ng

We consider conformal defects with spins under the rotation group acting on the transverse directions. They are described in the embedding space formalism in a similar manner to spinning local operators, and their correlation functions with…

High Energy Physics - Theory · Physics 2019-12-30 Nozomu Kobayashi , Tatsuma Nishioka

We propose a nonperturbative framework to study general correlation functions of single-trace operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory at large $N$. The basic strategy is to decompose them into fundamental building…

High Energy Physics - Theory · Physics 2017-03-08 Thiago Fleury , Shota Komatsu

Correlation functions of energy flow operators (energy-energy correlators) are one of the simplest observables in quantum field theory and gravity, with diverse applications ranging from real world collider physics to constraining the space…

High Energy Physics - Theory · Physics 2025-12-12 Bianka Meçaj , Ian Moult , Matthew T. Walters , Yuan Xin

We study four-point correlation functions of the stress-tensor multiplet in $\mathcal{N} = 4$ super Yang-Mills (sYM) theory by leveraging integrability and localization techniques. We combine dispersive sum rules and spectral information…

High Energy Physics - Theory · Physics 2024-12-03 Simon Caron-Huot , Frank Coronado , Zahra Zahraee

We perform a systematic study of integrated four-point functions of half-BPS operators in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$. These observables, defined by a certain spacetime integral of…

High Energy Physics - Theory · Physics 2023-02-15 Hynek Paul , Eric Perlmutter , Himanshu Raj

We propose an operator product expansion for planar form factors of local operators in $\mathcal{N}=4$ SYM theory. This expansion is based on the dual conformal symmetry of these objects or, equivalently, the conformal symmetry of their…

High Energy Physics - Theory · Physics 2021-06-22 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

The nonperturbative effects in the quark form factor are considered in the Wilson loop formalism. The properties of the Wilson loops with cusp singularities are studied taking into account the perturbative and nonperturbative contributions,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander E. Dorokhov , Igor O. Cherednikov

We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \sim \tr \phi^{(i}\phi^{j)}$ in $\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions…

High Energy Physics - Theory · Physics 2009-10-31 G. Arutyunov , S. Frolov , A. C. Petkou

We clarify questions related to the convergence of the OPE and conformal block decomposition in unitary Conformal Field Theories (for any number of spacetime dimensions). In particular, we explain why these expansions are convergent in a…

High Energy Physics - Theory · Physics 2015-06-15 Duccio Pappadopulo , Slava Rychkov , Johnny Espin , Riccardo Rattazzi

The coupling constant dependence of correlation functions of BPS operators in N=4 Yang-Mills can be expressed in terms of integrated correlation functions. We approximate these integrated correlators by using a truncated OPE expansion. This…

High Energy Physics - Theory · Physics 2009-11-10 Anirban Basu , Michael B. Green , Savdeep Sethi

Instanton effects on the Euclidean correlation function of two Wilson loops at an angle $\theta$, relevant to soft high-energy dipole-dipole scattering, are calculated in the Instanton Liquid Model and compared with the existing lattice…

High Energy Physics - Phenomenology · Physics 2015-03-13 M. Giordano , E. Meggiolaro

We compute the leading-color contribution to four-particle scattering amplitude in four-dimensional conformal fishnet theory that arises as a special limit of $\gamma$-deformed $\mathcal N=4$ SYM. We show that the single-trace partial…

High Energy Physics - Theory · Physics 2019-09-04 G. P. Korchemsky

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 reconsider the computation of the entanglement entropy of two disjoint intervals in a (1+1) dimensional conformal field theory by conformal block expansion of the 4-point correlation function of twist fields. We show that accurate…

Statistical Mechanics · Physics 2019-03-26 Paola Ruggiero , Erik Tonni , Pasquale Calabrese

We study the large N degeneracy in the structure of the four-point amplitudes of 1/2-BPS operators of arbitrary weight k in perturbative N=4 SYM theory. At one loop (order g^2) this degeneracy manifests itself in a smaller number of…

High Energy Physics - Theory · Physics 2015-06-26 G. Arutyunov , S. Penati , A. Santambrogio , E. Sokatchev