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We study anomalous dimensions of (super)conformal Wilson operators at weak and strong coupling making use of the integrability symmetry on both sides of the gauge/string correspondence and elucidate the origin of their single-logarithmic…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , A. S. Gorsky , G. P. Korchemsky

We study fluctuations and finite size corrections for the ferromagnetic thermodynamic limit in the Bethe ansatz for the Heisenberg XXX1/2 spin chain, which is the AdS/CFT dual of semiclassical spinning strings. For this system we derive the…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , L. Freyhult

The singlet sector of the $O(N)$ $\phi^4$-model in AdS$_4$ at large-$N$, gives rise to a dual conformal field theory on the conformal boundary of AdS$_4$, which is a deformation of the generalized free field. We identify and compute an…

High Energy Physics - Theory · Physics 2023-07-26 Ivo Sachs , Pierre Vanhove

We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $\lambda^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of…

High Energy Physics - Theory · Physics 2023-08-14 J. M. Drummond , H. Paul , M. Santagata

We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the case of N=4 SYM, we compute the four-loop anomalous dimension of the twist-two…

High Energy Physics - Theory · Physics 2024-03-08 B. A. Kniehl , V. N. Velizhanin

Building on arXiv:0912.1723, in this paper we investigate the AdS3/CFT2 correspondence using integrability techniques. We present an all-loop Bethe Ansatz (BA) for strings on AdS_3 x S^3 x S^3 x S^1, with symmetry D(2,1;alpha)^2, valid for…

High Energy Physics - Theory · Physics 2015-05-28 O. Ohlsson Sax , B. Stefanski

We apply the Operator Product Expansion (OPE) algorithm to the renormalization of scalar-QED theory, with a specific focus on the fixed-charge operator $\phi^Q$. Within the OPE framework, the anomalous dimension of the $\phi^Q$ operator is…

High Energy Physics - Theory · Physics 2026-05-29 Rijun Huang , Qingjun Jin , Yi Li

We compute exactly various 4-point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional "fishnet" CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and…

High Energy Physics - Theory · Physics 2019-10-02 Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

The Bethe ansatz can be used to compute anomalous dimensions in N=4 SYM theory. The classical solutions of the sigma-model on AdS(5)xS(5) can also be parameterized by an integral equation of Bethe type. In this note the relationship between…

High Energy Physics - Theory · Physics 2008-11-26 K. Zarembo

The infrared divergences of massless n-parton scattering amplitudes can be derived from the anomalous dimension of n-jet operators in soft-collinear effective theory. Up to three-loop order, the latter has been shown to have a very simple…

High Energy Physics - Phenomenology · Physics 2015-06-11 Valentin Ahrens , Matthias Neubert , Leonardo Vernazza

We investigate the heavy-light four-point function up to double-stress-tensor, supplementing 1910.06357. By using the OPE coefficients of lowest-twist double-stress-tensor in the literature, we find the Regge behavior for lowest-twist…

High Energy Physics - Theory · Physics 2022-06-15 Yue-Zhou Li , Hao-Yu Zhang

Using the thermodynamical Bethe ansatz method we derive an infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT. The Y-system conjectured in arXiv:0901.3753 for the spectrum of all operators in…

High Energy Physics - Theory · Physics 2015-05-13 Nikolay Gromov , Vladimir Kazakov , Andrii Kozak , Pedro Vieira

We present an expression for the leading-color (planar) four-loop four-point amplitude of N=4 supersymmetric Yang-Mills theory in 4-2 e dimensions, in terms of eight separate integrals. The expression is based on consistency of unitarity…

High Energy Physics - Theory · Physics 2008-11-26 Zvi Bern , Michael Czakon , Lance J. Dixon , David A. Kosower , Vladimir A. Smirnov

Motivated by the desire to relate Bethe ansatz equations for anomalous dimensions found on the gauge theory side of the AdS/CFT correspondence to superstring theory on AdS_5 x S5 we explore a connection between the asymptotic S-matrix that…

High Energy Physics - Theory · Physics 2016-09-06 R. Roiban , A. Tirziu , A. A. Tseytlin

We present the full analytic result for the three-loop angle-dependent cusp anomalous dimension in QCD. With this result, infrared divergences of planar scattering processes with massive particles can be predicted to that order. Moreover,…

High Energy Physics - Phenomenology · Physics 2015-03-05 Andrey Grozin , Johannes M. Henn , Gregory P. Korchemsky , Peter Marquard

We formulate a closed set of equations for the spectrum of two-dimensional bi-scalar fishnet conformal field theory, comprising Baxter equations and quantisation conditions, which we derive operatorially from the underlying sl(2) spin…

High Energy Physics - Theory · Physics 2026-04-03 Simon Ekhammar , Nikolay Gromov , Fedor Levkovich-Maslyuk , Paul Ryan

We compute the null cusp anomalous dimension of ABJM theory at strong coupling up to two-loop order. This is done by evaluating corrections to the corresponding superstring partition function, weighted by the $AdS_4\times \mathbb{CP}^3$…

High Energy Physics - Theory · Physics 2015-06-22 Lorenzo Bianchi , Marco S. Bianchi , Alexis Bres , Valentina Forini , Edoardo Vescovi

A recently discovered generalized Gribov-Lipatov reciprocity holds for the anomalous dimensions of various twist operators in N=4 SYM. Here, we consider a class of scaling psu(2,2|4) operators that reduce at one-loop to twist-3 maximal…

High Energy Physics - Theory · Physics 2008-11-26 Matteo Beccaria , Valentina Forini

We apply recently developed integrable spin chain and dilatation operator techniques in order to compute the planar one-loop anomalous dimensions for certain operators containing a large number of scalar fields in N =4 Super Yang-Mills. The…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , J. A. Minahan , M. Staudacher , K. Zarembo

We compute 1-loop correction E_1 to the energy of folded string in AdS_5 x S^5 (carrying spin S in AdS_5 and momentum J in S^5) using ``long string'' approximation in which S >> J >> 1. According to AdS/CFT E_1 should represent the first…

High Energy Physics - Theory · Physics 2008-11-26 S. Frolov , A. Tirziu , A. A. Tseytlin