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The bulk phase shift, related to a CFT four-point function, describes two-to-two scattering at fixed impact parameter in the dual AdS spacetime. We describe its properties for a generic CFT and then focus on large $N$ CFTs with classical…

High Energy Physics - Theory · Physics 2018-08-01 Manuela Kulaxizi , Andrei Parnachev , Alexander Zhiboedov

It's well known that in conformal theories the two- and three-point functions of a subset of the local operators-the conformal primaries-suffice, via the operator product expansion (OPE), to determine all local correlation functions of…

High Energy Physics - Theory · Physics 2014-05-01 Jean-François Fortin , Kenneth Intriligator , Andreas Stergiou

We study large-spin operators in conformal field theories (CFTs) in spacetime dimensions $d>2$ by placing the theory on appropriate pp-wave backgrounds. We show that these geometries admit Heisenberg-group symmetries, and that these…

High Energy Physics - Theory · Physics 2026-03-12 Zohar Komargodski , Alessio Miscioscia , Fedor K. Popov

Nuclear processes involving momenta much below the mass of the pion may be described by an effective field theory in which the pions do not appear as explicit degrees of freedom. The effects of the pion and all other virtual hadrons are…

Nuclear Theory · Physics 2008-11-26 Jiunn-Wei Chen , Gautam Rupak , Martin J. Savage

Logarithmic operators and logarithmic conformal field theories are reviewed. Prominent examples considered here include c=-2 and c=0 logarithmic conformal field theories. c=0 logarithmic conformal field theories are especially interesting…

Statistical Mechanics · Physics 2014-05-30 Victor Gurarie

We compute the all-loop anomalous dimensions of current and primary field operators in deformed current algebra theories based on a general semi-simple group, but with different (large) levels for the left and right sectors. These theories,…

High Energy Physics - Theory · Physics 2019-12-24 George Georgiou , Konstantinos Sfetsos , Konstantinos Siampos

We initiate an approach to constraining conformal field theory (CFT) data at finite temperature using methods inspired by the conformal bootstrap for vacuum correlation functions. We focus on thermal one- and two-point functions of local…

High Energy Physics - Theory · Physics 2018-11-14 Luca Iliesiu , Murat Koloğlu , Raghu Mahajan , Eric Perlmutter , David Simmons-Duffin

We continue the study of the bosonic $O(N)^3$ model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant $\phi^4$ composite operators, known as tetrahedron, pillow and double-trace. As…

High Energy Physics - Theory · Physics 2020-06-23 Dario Benedetti , Razvan Gurau , Kenta Suzuki

From an analytical perspective, we introduce a sequence of Cartier operators that act on the field of formal Laurent series in one variable with coefficients in a field of positive characteristic $p$. In this work, we discover the binomial…

Number Theory · Mathematics 2015-09-09 Sangtae Jeong

We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N=4…

High Energy Physics - Theory · Physics 2010-04-05 A. V. Belitsky , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

The matrix elements of local operators such as the electromagnetic current, the energy momentum tensor, angular momentum, and the moments of structure functions have exact representations in terms of light-cone Fock state wavefunctions of…

High Energy Physics - Theory · Physics 2009-09-11 Stanley J. Brodsky , Dae Sung Hwang , Bo-Qiang Ma , Ivan Schmidt

We use effective string theory to study mesons with large spin $J$ in large $N_c$ QCD as rotating open strings. In the first part of this work, we formulate a consistent effective field theory (EFT) for open spinning strings with light…

High Energy Physics - Theory · Physics 2025-01-15 Gabriel Cuomo , Sergei Dubovsky , Guzmán Hernández-Chifflet , Alexander Monin , Shahrzad Zare

Carrollian conformal field theory offers an alternative description of massless scattering amplitudes, that is holographic in nature. In an effort to build a framework that is both predictive and constraining, we construct operator product…

High Energy Physics - Theory · Physics 2026-04-20 Kevin Nguyen , Jakob Salzer

Energy conditions are attempts to summarise the properties of realistic descriptions of matter via constraints on the energy-momentum tensor. This is, for example, useful when one wants to understand the types of spacetime geometry that can…

High Energy Physics - Theory · Physics 2024-11-19 Hidde Stoffels

Effective field theory (EFT) formulations of dark matter interactions have proven to be a convenient and popular way to quantify LHC bounds on dark matter. However, some of the non-renormalizable EFT operators considered do not respect the…

High Energy Physics - Phenomenology · Physics 2015-09-23 Nicole F. Bell , Yi Cai , James B. Dent , Rebecca K. Leane , Thomas J. Weiler

Baryon number-violating processes arise generically in many extensions of the Standard Model, with Grand Unified Theories providing the most compelling realizations. Ongoing experimental searches at JUNO, Hyper-K, and DUNE motivate a more…

High Energy Physics - Phenomenology · Physics 2026-03-13 Chuan-Qiang Song , Jiang-Hao Yu

We study the conformal field theory data (CFT-data) of planar 4D $\mathcal{N} = 4$ Super-Yang-Mills theory in the strong 't Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual…

High Energy Physics - Theory · Physics 2025-01-27 Julius Julius , Nika Sergeevna Sokolova

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

Light-cone quantization always involves the solution of differential constraint equations. The solutions to these equations include integration constants (fields independent of $x_-$). These fields are unphysical but when they are…

High Energy Physics - Theory · Physics 2014-11-18 G. McCartor

A set of lattice operators for the energy-momentum (EM) tensor in the Ising CFT is derived in the spin variables. Our expression works under arbitrary affine transformation both on triangular and hexagonal lattices (where the former…

High Energy Physics - Lattice · Physics 2025-05-14 Richard C. Brower , George T. Fleming , Nobuyuki Matsumoto , Rohan Misra