Gauge/string duality for QCD conformal operators
By A. Belitsky, A. Gorsky, G. Korchemsky. 2003
192 citations recorded by the source corpus.
Abstract Renormalization group evolution of QCD composite light-cone operators, built from two and more quark and gluon fields, is responsible for the logarithmic scaling violations in diverse physical observables. We analyze spectra of anomalous dimensions of these operators at large conformal spins at weak and strong coupling with the emphasis on the emergence of a dual string picture. The multi-particle spectrum at weak coupling has a hidden symmetry due to integrability of the underlying dilatation operator which drives the evolution. In perturbative regime, we demonstrate the equivalence of the one-loop cusp anomaly to the disk partition function in two-dimensional Yang–Mills theory which admits a string representation. The strong coupling regime for anomalous dimensions is discussed within the two pictures addressed recently—minimal surfaces of open strings and rotating long closed strings in AdS background. In the latter case we find that the integrability implies the presence of extra degrees of freedom—the string junctions. We demonstrate how the analysis of their equations of motion naturally agrees with the spectrum found at weak coupling.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f0b0e284e1a19fa87706285d016866e268211d98
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Citations in the corpus
- Spiky strings and single trace operators in gauge theories (2004, background): “The coherent state at a given (8)See also [43] for a relation to cusp anomalies of Wilson loops.”
- 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 λ that smoothly interpolates between the weak and strong coupling regimes ∆ = E = S + f(λ) lnS +O(S) .”
- Scattering amplitudes, Wilson loops and the string/gauge theory correspondence (2008, methodology): “32) have been evaluated directly [40, 47, 48, 49, 50, 51, 52, 53] with the result”
- Precision spectroscopy of AdS / CFT (2003, background): “Can we also treat these operators by a Bethe ansatz? The integrability property of anomalous dimensions of similar operators was recently discussed in the literature [23].”
- Pulsating strings on Ads(5) x S(5) (2004, background): “nce been studied extensively [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], and are reviewed in [18]. Studies of the corresponding gauge theory [19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29] (see also[30,31])were simplified andextended by theobservation of[32]thatthematrix of anomalous dimensions cou”
- The N=4 SYM Integrable Super Spin Chain (2003, background): “Finally,L, which is not a label ofsl(4|4), gives the length or number of spins.”
- Classical/quantum integrability in AdS/CFT (2004, background): “We should mention that integrable spin chains arise in large-N QCD [51, 52, 53, 54, 55] (the quasiclassical solutions to the Bethe anzatz equations were considered in this context in [56, 57]) and in less supersymmetric cousins of N = 4 SYM [58, 59, 60, 61, 62].”
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