Spin chains and gauge-string duality
Copyright policy )Spin chains and gauge-string duality
The stringy picture behind the integrable spin chains governing the evolution equations in Yang-Mills theory is discussed. It is shown that one-loop dilatation operator in N=4 theory can be expressed in terms of two-point functions on 2d worldsheet. Using the relation between Neumann integrable system and the spin chains it is argued that the transition to the finite gauge theory coupling implies the discretization of the worldsheet. We conjecture that string bit model for the discretized worldsheet corresponds to the representation of the integrable spin chains in terms of the separated variables.
20 pages,reference added
- Institute for Theoretical and Experimental Physics Russian Federation
High Energy Physics - Theory, spin chains, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, duality, string theory, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Yang-Mills and other gauge theories in quantum field theory
High Energy Physics - Theory, spin chains, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, duality, string theory, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Yang-Mills and other gauge theories in quantum field theory
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