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Related papers: Nonperturbative scales in AdS/CFT

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We calculate the exact values of the holomorphic observables of {\cal N}=4 supersymmetric SU(N) Yang-Mills theory deformed by mass terms which preserve {\cal N}=1 SUSY. These include the chiral condensates in each massive vacuum of the…

High Energy Physics - Theory · Physics 2011-04-15 Nick Dorey , S. Prem Kumar

We calculate the small angle expansion of the four-loop QCD cusp anomalous dimension. As a byproduct of our calculation, we also obtain the four-loop anomalous dimension of the heavy-quark field in HQET. The validity of the calculational…

High Energy Physics - Phenomenology · Physics 2022-11-18 Andrey G. Grozin , Roman N. Lee , Andrey F. Pikelner

We show that the Quantum Spectral Curve (QSC) formalism, initially formulated for the spectrum of anomalous dimensions of all local single trace operators in N=4 SYM, can be extended to the generalized cusp anomalous dimension for all…

High Energy Physics - Theory · Physics 2016-05-03 Nikolay Gromov , Fedor Levkovich-Maslyuk

Dynamic AdS/QCD is a holographic model of strongly coupled gauge theories with the dynamics included through the running anomalous dimension of the quark bilinear, gamma. We apply it to describe the physics of massive quarks in the…

High Energy Physics - Phenomenology · Physics 2014-10-17 Nick Evans , Marc Scott

The series of perturbative fluctuations around a multi-instanton contribution to a specific class of correlation functions of supercurrents in $\cal N=4$ supersymmetric SU(N) Yang-Mills theory is examined in the light of the AdS/CFT…

High Energy Physics - Theory · Physics 2009-10-31 Rajesh Gopakumar , Michael B. Green

Recently a new picture has been developed for examining Wilson lines, and the corresponding anomalous dimensions which govern their renormalization properties. By making a particular coordinate transform, the calculation of the cusp…

High Energy Physics - Theory · Physics 2012-05-29 D. J. Miller , C. D. White

We study the anomalous dimension of the cusped Maldacena-Wilson line in planar $\mathcal{N} = 4$ Yang-Mills theory with scalar insertions using the Quantum Spectral Curve (QSC) method. In the straight line limit we interpret the excited…

High Energy Physics - Theory · Physics 2020-08-26 David Grabner , Nikolay Gromov , Julius Julius

We present an ansatz for the planar five-loop four-point amplitude in maximally supersymmetric Yang-Mills theory in terms of loop integrals. This ansatz exploits the recently observed correspondence between integrals with simple conformal…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bern , J. J. M. Carrasco , H. Johansson , D. A. Kosower

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

The typical transverse momentum $Q_s(t)$ (or "saturation" momentum) acquired by a hard particle propagating through a $\mathcal{N}=4$ SYM plasma increases over time like $t^\gamma$, with an anomalous exponent $\gamma>1/2$ characteristic of…

High Energy Physics - Phenomenology · Physics 2023-01-11 Paul Caucal

We revive the idea of using physical anomalous dimensions in the QCD scale evolution of deep-inelastic structure functions and their scaling violations and present a detailed phenomenological study of its applicability. Differences with…

High Energy Physics - Phenomenology · Physics 2013-11-13 Martin Hentschinski , Marco Stratmann

We consider the extension of the CMW soft-gluon effective coupling in the context of soft-gluon resummation for QCD hard-scattering observables beyond the next-to-leading logarithmic accuracy. We present two proposals of a soft-gluon…

High Energy Physics - Phenomenology · Physics 2019-09-04 Stefano Catani , Daniel de Florian , Massimiliano Grazzini

We consider the world surface in AdS_5 that ends on two intersecting null lines at the boundary. The corresponding string partition function describes the expectation value of the Wilson line with a null cusp in dual large N maximally…

High Energy Physics - Theory · Physics 2009-09-17 R. Roiban , A. A. Tseytlin

We study the generalized cusp anomalous dimension, or quark-antiquark potential on the three-sphere, in the presence of a large $R$-charge $L$ and at strong coupling. Considering the insertion of a local scalar operator of charge $L$ on a…

High Energy Physics - Theory · Physics 2025-12-18 Davide Bonomi , Valentina Forini , Valentina Giangreco M. Puletti , Luca Griguolo , Domenico Seminara

In this talk we present the result for the $n_f$ dependent piece of the three-loop cusp anomalous dimension in QCD. Remarkably, it is parametrized by the same simple functions appearing in analogous anomalous dimensions in ${\mathcal N}=4$…

High Energy Physics - Theory · Physics 2014-08-21 Andrey Grozin , Johannes M. Henn , Gregory P. Korchemsky , Peter Marquard

The AdS/CFT correspondence has provided new and useful insights into the nonperturbative regime of strongly coupled gauge theories. We construct a class of models meant to mimic Yang-Mills theory using the superpotential method. This method…

High Energy Physics - Theory · Physics 2018-07-31 Sean P. Bartz , Aditya Dhumuntarao , Joseph I. Kapusta

We explore and exploit the relation between non-planar correlators in ${\cal N}=4$ super-Yang-Mills, and higher-genus closed string amplitudes in type IIB string theory. By conformal field theory techniques we construct the genus-one,…

High Energy Physics - Theory · Physics 2019-06-26 Luis F. Alday , Agnese Bissi , Eric Perlmutter

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…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. V. Belitsky , G. P. Korchemsky , R. S. Pasechnik

Integrability occupies an increasingly important role in direct tests of the AdS/CFT correspondence. Integrable structures have appeared in both planar N=4 super Yang-Mills theory and type IIB superstring theory on AdS_5 x S^5. A…

High Energy Physics - Theory · Physics 2007-05-23 Ian Swanson

The AdS/CFT correspondence enables us to probe M-theory on various backgrounds from the corresponding dual gauge theories. Here we investigate in detail a three-dimensional U(N) N=4 super Yang-Mills theory coupled to one adjoint…

High Energy Physics - Theory · Physics 2015-06-22 Yasuyuki Hatsuda , Kazumi Okuyama