Anomalous dimensions of Wilson operators in N=4 SYM theory
By Anatoly V. Kotikov, L. Lipatov, V. Velizhanin. 2003
203 citations recorded by the source corpus.
Abstract 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 form by the same similarity transformation as in the leading order. The eigenvalues of the anomalous dimension matrix are expressed in terms of an universal function with its argument shifted by integer numbers. In the end we discuss relations between the weak and strong coupling regimes in the framework of the AdS/CFT correspondence.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/87f2e54eee57b7ecc2607979cc6db695e8100f5d
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Citations in the corpus
- Complete spectrum of long operators in N=4 SYM at one loop (2005, result): “ms quite plausible to believe that integrability persists indeed up to at least three loops in the whole theory [17,18]. This view is substantiated by some direct calculations of anomalous dimensions [19] and an extrapolation [20] from an explicit three-loop calculation in QCD [21]; these results ag”
- Transcendentality and crossing (2006, methodology): “Such an analysis was indeed performed in [12] using the KLV [45] and Padé approximations.”
- Spinning strings in AdS5 × S5 and integrable systems (2003, background): “A most natural interpretation of the corresponding dual SYM operators will be in terms of non-local Wilson loops [23] , and one may hope to shed some light on their integrable structures (see, e.g., [ 24 ] and refs.”
- SPINNING STRINGS AND AdS/CFT DUALITY (2003, background): “Here f(λ) = b0 √ λ + b1 + b2 √ λ + ... on perturbative string side and f(λ) = a1λ + a2λ 2 + ... on perturbative gauge theory side [8, 11, 13 ].”
- A relation between approaches to integrability in superconformal Yang-Mills theory (2003, background): “This result depends on the one-loop anomalous dimensions of twist two operators, which were also computed in [16,17].”
- Integrable Wilson loops (2012, background): “In that case the diagramatics are not that hard and indeed these calculations were done up to three loop order in [6, 7, 15, 36] (see also [37, 38]).”
- The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory (2003, background): “In fact, supersymmetry merges with conformal symmetry to the symmetry group PSU(2, 2|4).”
- Dressing and wrapping (2007, methodology): “The result agrees at two-loop order with the one obtained from an explicit field-theory calculation [19], and at three-loop order with a solid conjecture [20] extracted by the principle of maximum transcendentality [21] from a rigorous field theory calculation in QCD [22].”
- The N=4 SYM Integrable Super Spin Chain (2003, background): “Subsequently, Kotikov and Lipatov [20] applie the corresponding integrable structure, originally found in the QCD context, to computation of anomalous dimensions of twist-two operators (i.e., operators cont two scalar fields and an arbitrary number of symmetrized, traceless covariant deriv acting on”
- Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings (2005, background): “This includes checks against direct diagonalization of the three-loop Hamiltonian (where available), thermodynamic consistency, symmetry, and the idea [15, 18], supported by the structure found in [27], that the asymptotic S-matrices of string and gauge theory differ by a global, flavor-independent ”