Exact Spectrum of Anomalous Dimensions of Planar<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-italic">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>Supersymmetric Yang-Mills Theory

Gromov, Nikolay; Казаков, Владимир; Vieira, Pedro

doi:10.1103/physrevlett.103.131601

Cited by 309 publications

(283 citation statements)

References 35 publications

Supporting

Mentioning

275

Contrasting

Unclassified

Order By: Relevance

“…Using the so-called BES equation [8] the cusp anomalous dimension f (λ) was thoroughly studied both in the weak [8,11] and strong coupling regime [9,10,11]. Furthermore, all contributions to the exact in S anomalous dimension (2) which are free from wrapping effects can, in principle, be calculated [12,15] by using a linear integral equation previously derived in [14] 2 .…”

Section: Introductionmentioning

confidence: 99%

Large spin behavior of anomalous dimensions and short–long strings duality

Georgiou¹,

Savvidy²

2011

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

We are considering the semi-classical string soliton solution of Gubser, Klebanov and Polyakov which represents highly excited states on the leading Regge trajectory, with large spin in AdS 5 . A prescription relates this soliton solution with the corresponding field theory operators with many covariant derivatives, whose anomalous scaling dimension grows logarithmically with the space-time spin. We develop an iteration procedure which, in principle, allows to derive all terms in the large spin expansion of the anomalous scaling dimension of twist two operators at strong coupling. We explicitly derive the dependence of anomalous dimension on spin for all leading and next-to-leading orders. Our string theory results are consistent with the conjectured "reciprocity" relation, which has been verified to hold in perturbation theory up to five loops in N = 4 SYM. We also derive a duality relation between long and short strings.

show abstract

Section: Introductionmentioning

confidence: 99%

Large spin behavior of anomalous dimensions and short–long strings duality

Georgiou¹,

Savvidy²

2011

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…In the next chapter, we are going to explain the significance of this simplification. We define then 104) where K + and K − contain the expansion on odd and even Bessel functions respectively. The "magic" formula of BES expresses the dressing kernel as…”

Section: The "Magic" Bes Formulamentioning

confidence: 99%

Integrability and the AdS/CFT correspondence

Serban¹

2011

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

The description of gauge theories at strong coupling is one of the long-standing problems in theoretical physics. The idea of a relation between strongly coupled gauge theories and string theory was pioneered by 't Hooft, Wilson and Polyakov. A decade ago, Maldacena made this relation explicit by conjecturing the exact equivalence of a conformally invariant theory in four dimensions, the maximally supersymmetric Yang-Mills theory, with string theory in the AdS 5 × S 5 background. Other examples of correspondence between a conformally invariant theory and string theory in an AdS background were discovered recently. The comparison of the two sides of the correspondence requires the use of non-perturbative methods. The discovery of integrable structures in gauge theory and string theory led to the conjecture that the two theories are integrable for any value of the coupling constant and that they share the same integrable structure defined non-perturbatively. The last eight years brought remarkable progress in identifying this solvable model and in explicitly solving the problem of computing the spectrum of conformal dimensions of the theory. The progress came from the identification of the dilatation operator with an integrable spin chain and from the study of the string sigma model. In this thesis, I present the evolution of the concept of integrability in the framework of the AdS/CFT correspondence and the the main results obtained using this approach.

show abstract

“…The increasing linearity of the plot as the lattice size increases is very consistent with a power law behavior in the infinite volume limit. In principle the slope of this line yields (twice) the scaling dimension of the Konishi operator and we are currently working hard to extract this scaling dimension as a function of the 't Hooft coupling to compare with results in the planar limit 57 and bounds from the conformal bootstrap approach. 56 Preliminary results obtained from a Monte Carlo renormalization group analysis are in agreement with perturbative calculations at weak coupling.…”

Section: N = 4 Supersymmetric Yang-mills Theorymentioning

confidence: 99%

Supersymmetry on the lattice

Bergner

Catterall

2016

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

We discuss the motivations, difficulties and progress in the study of supersymmetric lattice gauge theories focusing in particular on N = 1 and N = 4 super Yang-Mills in four dimensions. Brief reviews of the corresponding lattice formalisms are given and current results are presented and discussed. We conclude with a summary of the main aspects of current work and prospects for the future.Keywords: Supersymmetry; Lattice quantum field theory; Lattice gauge field theories PACS numbers: 11.15. Ha, 11.30.Pb, 11.25.Tq, 12.38.Gc 1. Why study supersymmetric theories using lattice gauge theory?There are several reasons why supersymmetry has played such an important and prominent role in modern developments of quantum field theory. One is its versatility in constructing extensions of the Standard Model of particle physics. Supersymmetry provides a solution to the hierarchy problem by providing a mechanism for the cancellation of bosonic and fermionic contributions to quantities such as the Higgs mass and as a bonus it includes natural candidates for dark matter. Furthermore, supersymmetric extensions of the standard model have implications at scales that are testable by current collider experiments. At the more fundamental level supersymmetry provides a bridge between the standard model and descriptions of quantum gravity based on supergravity and string theory.Supersymmetric extensions of the standard model like the minimal supersymmetric Standard Model (MSSM) are based on softly broken supersymmetric theories and the relations to the experimental data are usually established by perturbative calculations. In general there are very many of these soft breaking terms (approximately one hundred in the MSSM) and this yields to a lack of predictability in such theories. It is generally believed that such softly broken theories should be thought 1 arXiv:1603.04478v2 [hep-lat]

show abstract

Exact Spectrum of Anomalous Dimensions of PlanarN=4Supersymmetric Yang-Mills Theory

Cited by 309 publications

References 35 publications

Large spin behavior of anomalous dimensions and short–long strings duality

Large spin behavior of anomalous dimensions and short–long strings duality

Integrability and the AdS/CFT correspondence

Supersymmetry on the lattice

Contact Info

Product

Resources

About