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TMF, 2014, Volume 181, Number 3, Pages 515–537 (Mi tmf8741)  

This article is cited in 5 scientific papers (total in 5 papers)

Determinant representations for form factors in quantum integrable models with the $GL(3)$-invariant $R$-matrix

S. Z. Pakulyakabc, E. Ragoucyde, N. A. Slavnovf

a Institute of Theoretical and Experimental Physics, Moscow, Russia
b Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia
c Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
d Université de Savoie, Annecy-le-Vieux, France
e Laboratoire d'Annecy-le-Vieux de Physique Théorique, Annecy-le-Vieux, France
f Steklov Mathematical Institute, RAS, Moscow, Russia

Abstract: We obtain determinant representations for the form factors of the monodromy matrix elements in quantum integrable models solvable by the nested algebraic Bethe ansatz and having the $GL(3)$-invariant $R$-matrix. These representations can be used to calculate correlation functions in physically interesting models.

Keywords: nested algebraic Bethe ansatz, scalar product, form factor

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00474_а
13-01-12405-офи_м
National Research University Higher School of Economics
Agence Nationale de la Recherche 2010-BLAN-0120-02
Russian Academy of Sciences - Federal Agency for Scientific Organizations 14-01-00440_a


DOI: https://doi.org/10.4213/tmf8741

Full text: PDF file (602 kB)
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English version:
Theoretical and Mathematical Physics, 2014, 181:3, 1566–1584

Bibliographic databases:

Document Type: Article
Received: 20.06.2014

Citation: S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Determinant representations for form factors in quantum integrable models with the $GL(3)$-invariant $R$-matrix”, TMF, 181:3 (2014), 515–537; Theoret. and Math. Phys., 181:3 (2014), 1566–1584

Citation in format AMSBIB
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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. Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “$GL(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators”, SIGMA, 11 (2015), 064, 18 pp.  mathnet  crossref  mathscinet  elib
    2. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Form factors of local operators in a one-dimensional two-component Bose gas”, J. Phys. A-Math. Theor., 48:43 (2015), 435001  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. O. I. Patu, A. Kluemper, “Thermodynamics, density profiles, and correlation functions of the inhomogeneous one-dimensional spinor Bose gas”, Phys. Rev. A, 92:4 (2015), 043631  crossref  adsnasa  isi  elib  scopus
    4. N. Gromov, F. Levkovich-Maslyuk, G. Sizov, “New construction of eigenstates and separation of variables for $\mathrm{SU}(N)$ quantum spin chains”, J. High Energy Phys., 2017, no. 9, 111  crossref  mathscinet  zmath  isi  scopus
    5. N. Gromov, F. Levkovich-Maslyuk, “New compact construction of eigenstates for supersymmetric spin chains”, J. High Energy Phys., 2018, no. 9, 085  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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