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Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article we study the thermodynamic limit of the form factors of the $XXX$ Heisenberg spin chain using the algebraic Bethe ansatz approach. Our main goal is to express the form factors for the low-lying excited states as determinants of matrices that remain finite dimensional in the thermodynamic limit. We show how to treat all types of the complex roots of the Bethe equations within this framework. In particular we demonstrate that the Gaudin determinant for the higher level Bethe equations arises naturally from the algebraic Bethe ansatz.
Keywords: form factors, correlation functions, algebraic Bethe ansatz.
Mots-clés : spin chains 
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     author = {Nikolai Kitanine and Giridhar Kulkarni},
     title = {Form {Factors} of the {Heisenberg} {Spin} {Chain} in the {Thermodynamic} {Limit:} {Dealing} with {Complex} {Bethe} {Roots}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2021},
     volume = {17},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a111/}
}
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Nikolai Kitanine; Giridhar Kulkarni. Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a111/

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