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An algebraic representation for correlation functions in integrable spin chains

In: Algebraic Analysis of Differential Equations

Author

Listed:
  • Michio Jimbo

    (The University of Tokyo, Graduate School of Mathematical Sciences)

Abstract

Exact description of correlation functions in integrable spin chains stands out as one of the most important problems in quantum integrable systems. In this article we give a brief survey of the subject and known results. We then report a recently found ‘algebraic’ formula for general correlation functions. This is a joint work with Herman Boos, Tetsuji Miwa, Fedor Smirnov and Yoshihiro Takeyama.

Suggested Citation

  • Michio Jimbo, 2008. "An algebraic representation for correlation functions in integrable spin chains," Springer Books, in: Takashi Aoki & Hideyuki Majima & Yoshitsugu Takei & Nobuyuki Tose (ed.), Algebraic Analysis of Differential Equations, pages 157-166, Springer.
  • Handle: RePEc:spr:sprchp:978-4-431-73240-2_15
    DOI: 10.1007/978-4-431-73240-2_15
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