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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 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 a {\cal N}=1 superspace formulation of {\cal N}=4 Yang-Mills theory we obtain the anomalous dimensions of chiral operators with large R charge J \to \infty keeping g^2 N/J^2 finite, to all orders of perturbation theory in the planar…

高能物理 - 理论 · 物理学 2009-11-07 Alberto Santambrogio , Daniela Zanon

In a {\cal N}=1 superspace setup and using dimensional regularization, we give a general and simple prescription to compute anomalous dimensions of composite operators in {\cal N}=4, SU(N) supersymmetric Yang-Mills theory, perturbatively in…

高能物理 - 理论 · 物理学 2009-11-07 Silvia Penati , Alberto Santambrogio

The scaling dimensions of large operators in N=4 supersymmetric Yang-Mills theory are dual to energies of semiclassical strings in AdS(5)xS(5). At one loop, the dimensions of large operators can be computed with the help of Bethe ansatz and…

高能物理 - 理论 · 物理学 2009-11-10 Martin Lubcke , Konstantin Zarembo

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 study the large N anomalous dimensions of operators in a Leigh-Strassler deformation of N=4 super Yang-Mills theory. The operators that we study have a bare dimension of order N (so that the large N limit is not captured by planar…

高能物理 - 理论 · 物理学 2015-06-12 Robert de Mello Koch , Jeff Murugan , Nkululeko Nokwara

N=4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS_5xS^5. The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the…

高能物理 - 理论 · 物理学 2009-11-11 Rafael Hernandez , Esperanza Lopez , Africa Perianez , German Sierra

The local composite gluon-ghost operator $({1/2}A^{a\mu}A_{\mu}^{a}+\alpha \bar{c}^{a}c^{a})$ is analysed in the framework of the algebraic renormalization in SU(N) Yang-Mills theories in the Landau, Curci-Ferrari and maximal abelian…

高能物理 - 理论 · 物理学 2007-06-22 D. Dudal , H. Verschelde , V. E. R. Lemes , M. S. Sarandy , R. Sobreiro , S. P. Sorella , M. Picariello , J. A. Gracey

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

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 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 four-point correlation functions of scalar composite operators in the N=4 supercurrent multiplet at order g^4 using the N=1 superfield formalism. We confirm the interpretation of short-distance logarithmic behaviours in terms of…

高能物理 - 理论 · 物理学 2009-10-31 M. Bianchi , S. Kovacs , G. C. Rossi , Ya. S. Stanev

We construct an exact analytical solution to the integral equation which is believed to describe logarithmic growth of the anomalous dimensions of high spin operators in planar N=4 super Yang-Mills theory and use it to determine the strong…

高能物理 - 理论 · 物理学 2011-01-28 B. Basso , G. P. Korchemsky , J. Kotanski

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

Anomalous dimensions of high-twist Wilson operators in generic gauge theories occupy a band of width growing logarithmically with their conformal spin. We perform a systematic study of its fine structure in the autonomous SL(2) subsector of…

高能物理 - 唯象学 · 物理学 2008-12-18 A. V. Belitsky , G. P. Korchemsky , R. S. Pasechnik

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading…

高能物理 - 理论 · 物理学 2008-11-26 B. Basso , G. P. Korchemsky

We study the the high spin expansion of the anomalous dimension for long operators belonging to the $sl(2)$ sector of ${\cal N}=4$ SYM. Keeping the ratio $j$ between the twist and the logarithm of the spin fixed, the anomalous dimensions…

高能物理 - 理论 · 物理学 2009-10-02 Davide Fioravanti , Gabriele Infusino , Marco Rossi

It has been recently proposed that string theory in the background of a plane wave corresponds to a certain subsector of the N=4 supersymmetric Yang-Mills theory. This correspondence follows as a limit of the AdS/CFT duality. As a…

高能物理 - 理论 · 物理学 2009-11-07 David J. Gross , Andrei Mikhailov , Radu Roiban

We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is…

高能物理 - 理论 · 物理学 2015-06-19 Nelson R. F. Braga , Edmond Iancu
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