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 TMF, 2005, Volume 142, Number 2, Pages 179–196 (Mi tmf1775)

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

DOI: https://doi.org/10.4213/tmf1775

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English version:
Theoretical and Mathematical Physics, 2005, 142:2, 153–165

Bibliographic databases:

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

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/tmf1775
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• http://mi.mathnet.ru/eng/tmf/v142/i2/p179

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Mann, N, “Bethe ansatz for a quantum supercoset sigma model”, Physical Review D, 72:8 (2005), 086002
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4. Krotov D., Morozov A., “A solvable sector of AdS theory”, Journal of High Energy Physics, 2005, no. 10, 062
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6. Belitsky AV, Gorsky AS, Korchemsky GP, “Logarithmic scaling in gauge/string correspondence”, Nuclear Physics B, 748:1–2 (2006), 24–59
7. Erler TG, Mann N, “Integrable open spin chains and the doubling trick in N=2 SYM with fundamental matter”, Journal of High Energy Physics, 2006, no. 1, 131
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9. Belitsky AV, Korchemsky GP, Muller D, “Towards Baxter equation in supersymmetric Yang-Mills theories”, Nuclear Physics B, 768:1–2 (2007), 116–134
10. Enciso, A, “Partially Solvable Spin Chains and QES Spin Models”, Journal of Nonlinear Mathematical Physics, 15 (2008), 155
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12. Gorsky, A, “One-loop derivation of the Wilson polygon-MHV amplitude duality”, Journal of Physics A-Mathematical and Theoretical, 42:35 (2009), 355214
13. Kirchbach M., Compean C.B., “Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space-time dS4”, Eur. Phys. J. A, 52:7 (2016), 210
14. Kirchbach M., Compean C.B., “Proton'S Electromagnetic Form Factors From a Non-Power Confinement Potential”, Nucl. Phys. A, 980 (2018), 32–50
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