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Theoretical and Mathematical Physics

, Volume 142, Issue 2, pp 153–165 | Cite as

Spin chains and gauge—string duality

  • A. S. Gorsky
Article
  • 38 Downloads

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 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • A. S. Gorsky
    • 1
  1. 1.Institute for Theoretical and Experimental PhysicsMoscowRussia

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