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The scaling function at strong coupling from the quantum string Bethe equations
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DOI：10.1088/1126-6708/2007/04/066.png)
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摘要
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We study at strong coupling the scaling function describing the large spin anomalous dimension of twist two operators in N = 4 super Yang-Mills theory. In the spirit of AdS/CFT duality, it is possible to extract it from the string Bethe Ansatz equations in the sl(2) sector of the AdS(5) x S-5 superstring. To this aim, we present a detailed analysis of the Bethe equations by numerical and analytical methods. We recover several short string semiclassical results as a check. In the more difficult case of the long string limit providing the scaling function, we analyze the strong coupling version of the Eden-Staudacher equation, including the Arutyunov-Frolov-Staudacher phase. We prove that it admits a unique solution, at least in perturbation theory, leading to the correct prediction consistent with semiclassical string calculations.
Keyword:
integrable field theories
AdS-CFT correspondence
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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分享收藏Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model.png)
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PHYSICS LETTERS BIF4.5
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