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On quantum group invariant spin chains at roots of unity and two-point correlation functions

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Abstract

We review the recent developement in the investigation of quantum group invariant two-point correlation functions for quantum spin chains. Starting from the algebraic definition of invariant two-point operators which are already known for theXXZ Heisenberg chain, we compute the corresponding correlation function for theXY chain. The uniqueness and the physical relevance of invariant correlation functions is discussed.

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The theory of invariant two-point functions has been developed in close collaboration with V. Rittenberg, M. Scheunert and P. P. Martin, and I want to thank them for their support and encouragement.

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Hinrichsen, H. On quantum group invariant spin chains at roots of unity and two-point correlation functions. Czech J Phys 44, 1029–1040 (1994). https://doi.org/10.1007/BF01690455

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  • DOI: https://doi.org/10.1007/BF01690455

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