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.
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