A note on twist two operators in = 4 SYM and Wilson loops in Minkowski signature

By M. Kruczenski. 2002

236 citations recorded by the source corpus.

Recently, the anomalous dimension of twist two operators in = 4 SYM theory was computed by Gubser, Klebanov and Polyakov in the limit of large 't Hooft coupling using semi-classical rotating strings in AdS5. Here we reproduce their results for large angular momentum by using the cusp anomaly of Wilson loops in Minkowski signature also computed within the AdS/CFT correspondence. In our case the anomalous dimension is related to an Euclidean world-sheet whose properties are completely determined by the symmetries of the problem. This gives support to the proposed identification of rotating strings and twist two operators.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c022f06d24e838bf8b1c6a5929a5d19dd13e5e28

How researchers see this paper

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In Applied Mathematics

1. J. Maldacena
2. R. Roiban
3. A. Tseytlin
4. N. Berkovits
5. G. Korchemsky
6. D. Gaiotto
7. E. Sokatchev
8. J. Drummond

In Nuclear and High Energy Physics

1. R. Roiban
2. A. Tseytlin
3. L. Alday
4. J. Maldacena
5. S. Frolov
6. G. Arutyunov
7. N. Beisert
8. N. Drukker

In Statistical and Nonlinear Physics

1. A. Tseytlin
2. S. Frolov
3. J. Maldacena
4. R. Myers
5. L. Alday
6. R. Roiban
7. N. Drukker
8. Dean Carmi

Citations in the corpus

• Spiky strings and single trace operators in gauge theories (2004, methodology): “This relation was confirmed in [39, 40] where it was shown that similar results for the anomalous dimension are obtained by using Wilson loops with cusps (following previous work in QCD [41]).”
• Comments on gluon scattering amplitudes via AdS/CFT (2007, background): “The divergencies arise from the region near the cusps connecting the momenta of two adjacent gluons (see [4]) and they can be computed using the single cusp solution considered in [12,1].”
• Conformal properties of four-gluon planar amplitudes and Wilson loops (2007, background): “Remarkably, their calculation looks very similar to that of the expectation value of a Wilson loop made out of four light-like segments ( x i , x i +1 ) in N = 4 SYM at strong coupling [30, 31].”
• An operator product expansion for polygonal null Wilson loops (2010, background): “A closely related discussion can be found in [27].”
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes (2007, background): “Performing a conformal inversion 8 , x µ ′ = x µ /x 2 , of all points belonging to the segment (5), we obtain another segment of the same type, The second distinctive feature of the contour C n is the presence of cusps, which, as we already pointed out in section 2, cause specific ultraviolet…”
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude (2007, background): “Alday and Maldacena pointed out [5] that their prescription (2) is mathematically equivalent to the calculation of a Wilson loop at strong coupling [7, 8 ]. Inspired by this, in [9] three of us conjectured that a duality relation between planar gluon amplitudes and light-like Wilson loops also exis”
• Space-time S-matrix and flux tube S-matrix II. Extracting and matching data (2013, background): “This description is related to the one invoked here by analytic continuation [1,36,37].”
• Strong-coupling expansion of cusp anomaly from quantum superstring (2007, methodology): “For cusp anomaly interpretation it requires a regularization as discussed in [4, 29, 25].”
• Spinning strings at one-loop in AdS(4) x P**3 (2008, background): “It is perhaps worth mentioning that the relationship between GKP spinning strings [1] and the open strings dual to light-like Wilson loops with a cusp, [36], that is known to exist in AdS5, persists in this context at least at the level of the classical worldsheet.”
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT (2006, background): “the “scaling function” or “cusp anomalous dimension” [3, 4 , 5]) should be a function of � that smoothly interpolates between the weak and strong coupling regimes � = E = S +f(�)lnS +O(S 0 ) . (1.1)”
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals (2008, background): “For example the expressions for the anti-parallel lines (“quark - anti-quark potential” [3, 4]) and for the light-like cusp [31] are exactly the same in the planar limit up to the change λN=4 → 2π(2)λCS.”
• On planar gluon amplitudes/Wilson loops duality (2007, background): “similar” to that of the expectation value of a Wilson loop made out of four light-like segments (xi, xi+1) in N = 4 SYM at strong coupling [8, 9 ] with dual coordinates x � related to the on-shell”
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection (2008, methodology): “This is a generalization of the solution in [ 57 ] which describes the case ǫ = 0.”