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We consider twist-3 operators in the sl(2) sector of N=4 SYM built out of three scalar fields with derivatives. We extract from the Bethe Ansatz equations of this sector the exact lowest anomalous dimension gamma(s) of scaling fields for…

高能物理 - 理论 · 物理学 2009-11-13 Matteo Beccaria

We show results for the universal anomalous dimension gamma_{uni}(j) of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory in the first three orders of perturbation theory. These expressions are obtained by extracting the…

高能物理 - 理论 · 物理学 2010-12-09 A. V. Kotikov

We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N=4 supersymmetric Yang-Mills theory and push its direct diagrammatic calculation through Lorentz spin j=20, one unit beyond the state of the…

高能物理 - 理论 · 物理学 2025-03-26 B. A. Kniehl , V. N. Velizhanin

This review is devoted to collecting some results on the high spin expansion of (minimal) anomalous dimension. Thanks to the recent rationale on integrability, planar ${\cal N}=4$ super Yang-Mills theory (or its…

高能物理 - 理论 · 物理学 2011-01-05 Davide Fioravanti , Marco Rossi

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills model. These results are obtained by extracting the most complicated contributions from the three loop…

高能物理 - 理论 · 物理学 2016-09-06 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory. These expressions are obtained by extracting the most complicated contributions from the three-loop…

高能物理 - 理论 · 物理学 2007-05-23 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

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…

高能物理 - 理论 · 物理学 2024-03-08 B. A. Kniehl , V. N. Velizhanin

We compute the non-planar contribution to the universal anomalous dimension of twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin eighteen. Exploiting the results of this and our previous…

高能物理 - 理论 · 物理学 2021-06-30 B. A. Kniehl , V. N. Velizhanin

We present results for the universal anomalous dimension \gamma_{uni}(j) of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory in the first four orders of perturbation theory.

高能物理 - 理论 · 物理学 2010-05-28 A. V. Kotikov

We construct interpolating functions fully compatible with S-duality. We then consider the problem of resumming perturbative expansions for anomalous dimensions of low twist non-protected operators in N=4 super Yang-Mills theory. When the…

高能物理 - 理论 · 物理学 2015-06-17 Luis F. Alday , Agnese Bissi

We consider the problem of resumming the perturbative expansions for anomalous dimensions of low twist, non-BPS operators in four dimensional N=4 supersymmetric Yang-Mills theories. The requirement of S-duality invariance imposes…

高能物理 - 理论 · 物理学 2022-08-22 Christopher Beem , Leonardo Rastelli , Ashoke Sen , Balt C. van Rees

We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the…

高能物理 - 理论 · 物理学 2021-02-17 B. A. Kniehl , V. N. Velizhanin

We propose a closed expression for the three loop anomalous dimension of a class of twist-3 operators built with gauge fields and covariant derivatives. To this aim, we solve the long-range Bethe Ansatz equations at finite spin and provide…

高能物理 - 理论 · 物理学 2009-04-30 Matteo Beccaria

In this paper we consider anomalous dimensions of double trace operators at large spin ($\ell$) and large twist ($\tau$) in CFTs in arbitrary dimensions ($d\geq 3$). Using analytic conformal bootstrap methods, we show that the anomalous…

高能物理 - 理论 · 物理学 2015-07-21 Apratim Kaviraj , Kallol Sen , Aninda Sinha

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…

高能物理 - 理论 · 物理学 2008-11-26 Matteo Beccaria , Valentina Forini

In perturbation theory, the anomalous dimensions of twist-two operators have poles at negative or small positive integer values of spin and therefore must be resummed at these points. It was observed earlier that a certain quadratic…

高能物理 - 理论 · 物理学 2025-06-06 A. N. Manashov , S. Moch , L. A. Shumilov

In the N=4 super Yang-Mills theory, we consider the higher order anomalous dimensions gamma_L(g) of purely gluonic operators Tr(F^L) where F is a component of the self-dual field strength. We propose compact closed expressions depending…

高能物理 - 理论 · 物理学 2009-06-10 Matteo Beccaria , Valentina Forini

We present the results of two-loop calculations of the anomalous dimension matrix for the Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory for polarized and unpolarized cases. This matrix can be transformed to a triangle…

高能物理 - 唯象学 · 物理学 2009-11-10 A. V. Kotikov , L. N. Lipatov , V. N. Velizhanin

In this work we study the cusp anomalous dimension of the marginally deformed N=4 sYM theory. We find the expression of the cusp anomalous dimension both at the weak and strong coupling limits. On the gravity side we partially map the…

高能物理 - 理论 · 物理学 2013-12-03 George Georgiou , Dimitrios Giataganas

We continue the analysis of hep-th/0303060 in the one-loop sector and present the complete psu(2,2|4) dilatation operator of N=4 Super Yang-Mills theory. This operator generates the matrix of one-loop anomalous dimensions for all local…

高能物理 - 理论 · 物理学 2011-03-02 Niklas Beisert
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