Geodesic
Spin chains and gauge-string duality
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 179-196

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We discuss the string picture behind the integrable spin chains governing the evolution equations in the Yang-Mills theory. We show that the one-loop correction to the dilatation operator in the $N=4$ theory can be expressed in terms of two-point correlation functions on the two-dimensional worldsheet. Using the relation between the Neumann integrable system and spin chains, we argue that the transition to the finite gauge-theory coupling implies discretization of the worldsheet. We conjecture that the string-bit model for the discretized worldsheet corresponds to the representation of the integrable spin chains in terms of the separated variables.
Mots-clés : spin chains
Keywords: duality, string theory. 
@article{TMF_2005_142_2_a0,
     author = {A. S. Gorsky},
     title = {Spin chains and gauge-string duality},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {179--196},
     publisher = {mathdoc},
     volume = {142},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a0/}
}
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A. S. Gorsky. Spin chains and gauge-string duality. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 179-196. http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a0/