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We present an optimization framework based on Lagrange duality and the scattering $\mathbb{T}$ operator of electromagnetism to construct limits on the possible features that may be imparted to a collection of output fields from a collection…

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

Higher-point functions of scalar operators are a rich observable in CFTs, as they contain OPE data involving multiple spinning operators. We derive the lightcone blocks for five- and six-point functions in the snowflake channel and use them…

High Energy Physics - Theory · Physics 2022-04-05 António Antunes , Miguel S. Costa , Vasco Goncalves , Joao Vilas Boas

We prove convergence and compatibility of iterated bulk and boundary operator product expansions (OPEs) in two-dimensional conformal field theory with locally $C_1$-cofinite chiral symmetry. For each tree, we give an explicit domain of…

Quantum Algebra · Mathematics 2026-05-27 Yuto Moriwaki

We explore a direct connection between the collinear limit and the multi-Regge limit for scattering amplitudes in the N=4 super Yang-Mills theory. Starting with the collinear expansion for the six-gluon amplitude in the Euclidean kinematic…

High Energy Physics - Theory · Physics 2015-06-19 Yasuyuki Hatsuda

The operator product expansion (OPE) for heavy-light-quark pseudoscalar mesons (D-mesons and B-mesons) in medium is determined, both for a moving meson with respect to the surrounding medium as well as for a meson at rest. First of all, the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Sven Zschocke , Thomas Hilger , Burkhard Kampfer

Operator product expansions (OPE) for the product of a scalar field with its conjugate are presented as infinite sums of bilocal fields V_k (x_1, x_2) of dimension (k,k). For a {\it globally conformal invariant} (GCI) theory we write down…

High Energy Physics - Theory · Physics 2007-05-23 Nikolay M. Nikolov , Yassen S. Stanev , Ivan T. Todorov

Two- and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the $n$-point functions of…

High Energy Physics - Theory · Physics 2009-11-07 P. J. Heslop , P. S. Howe

We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic…

High Energy Physics - Theory · Physics 2019-09-04 Edoardo Lauria , Marco Meineri , Emilio Trevisani

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

A generalization of the operator product expansion for Euclidean correlators of gauge invariant QCD currents is presented. Each contribution to the modified expansion, which is based on a delocalized multipole expansion of a perturbatively…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

We present a dispersion relation in conformal field theory which expresses the four point function as an integral over its single discontinuity. Exploiting the analytic properties of the OPE and crossing symmetry of the correlator, we show…

High Energy Physics - Theory · Physics 2020-05-20 Agnese Bissi , Parijat Dey , Tobias Hansen

We consider a homogeneous, balanced gas of strongly interacting fermions in two spin states interacting through a large scattering length. Finite range corrections are needed for a quantitative description of data which experiments and…

Quantum Gases · Physics 2017-01-20 Samuel B. Emmons , Daekyoung Kang , Lucas Platter

Some of the operator product expansions (OPEs) between the lowest 16 higher spin currents of spins (1, 3/2, 3/2, 3/2, 3/2, 2, 2, 2, 2, 2, 2, 5/2, 5/2, 5/2, 5/2, 3) in an extension of the large N=4 linear superconformal algebra were…

High Energy Physics - Theory · Physics 2016-08-03 Changhyun Ahn , Man Hea Kim

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

We analytically solve the conformal bootstrap equations in the Regge limit for large N conformal field theories. For theories with a parametrically large gap, the amplitude is dominated by spin-2 exchanges and we show how the crossing…

High Energy Physics - Theory · Physics 2018-01-17 Daliang Li , David Meltzer , David Poland

We define a Regge limit for off-shell Green functions in quantum field theory, and study it in the particular case of conformal field theories (CFT). Our limit differs from that defined in arXiv:0801.3002, the latter being only a particular…

High Energy Physics - Theory · Physics 2014-11-20 Tom Banks , Guido Festuccia

We compute the most general embedding space two-point function in arbitrary Lorentz representations in the context of the recently introduced formalism in arXiv:1905.00036 and arXiv:1905.00434. This work provides a first explicit…

High Energy Physics - Theory · Physics 2020-05-20 Jean-François Fortin , Valentina Prilepina , Witold Skiba

Consider a conformally covariant four-point function of identical scalar operators with a discrete spectrum, a twist gap, and compatible with the unitarity conditions. We give a mathematical proof confirming that the spectrum and OPE…

High Energy Physics - Theory · Physics 2025-07-02 Balt C. van Rees

The operator product expansion (OPE) on the celestial sphere of conformal primary gluons and gravitons is studied. Asymptotic symmetries imply recursion relations between products of operators whose conformal weights differ by…

High Energy Physics - Theory · Physics 2019-10-28 Monica Pate , Ana-Maria Raclariu , Andrew Strominger , Ellis Ye Yuan
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