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This article is cited in 14 scientific papers (total in 14 papers)
Spin chains and gauge-string duality
A. S. Gorsky Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Abstract:
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.
Keywords:
spin chains, duality, string theory.
Citation:
A. S. Gorsky, “Spin chains and gauge-string duality”, TMF, 142:2 (2005), 179–196; Theoret. and Math. Phys., 142:2 (2005), 153–165
Linking options:
https://www.mathnet.ru/eng/tmf1775https://doi.org/10.4213/tmf1775 https://www.mathnet.ru/eng/tmf/v142/i2/p179
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Abstract page: | 752 | Full-text PDF : | 318 | References: | 72 | First page: | 1 |
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