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Bethe vectors and form factors for two-component bose gas

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

This short note presents works done in collaboration with S. Pakuliak (JINR, Dubna) and N. Slavnov (Steklov Math. Inst., Moscow). It is a summary of the articles arXiv:1412.6037, arXiv:1501.07566, arXiv:1502.01966 and arXiv:1503.00546. Here are mentioned only references used for our calculations. A detailed list of references can be found in our articles mentionned here.

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References

  1. S. Belliard, S. Pakuliak, E. Ragoucy, and N. A. Slavnov, “Bethe vectors of GL(3)-invariant integrable models,” J. Stat. Mech. 1302, 02020 (2013); arXiv:1210.0768.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. Pakuliak, E. Ragoucy, and N. A. Slavnov, “Zero modes method and form factors in quantum integrable models,” Nucl. Phys. B 893, 459–481 (2015); arXiv:1412.6037.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. N. A. Slavnov, “One-dimensional two-component Bose gas and the algebraic Bethe ansatz,” arXiv:1502.06749.

  4. S. Pakuliak, E. Ragoucy, and N. A. Slavnov, “GL(3)-based quantum integrable composite models: 1. Bethe vectors,” SIGMA 11, 063 (2015); arXiv:1501.07566.

    MathSciNet  MATH  Google Scholar 

  5. S. Pakuliak, E. Ragoucy, and N. A. Slavnov, “GL(3)-based quantum integrable composite models: 2. Form factors of local operators,” SIGMA 11, 064 (2015); arXiv:1502.01966.

    MathSciNet  MATH  Google Scholar 

  6. S. Belliard, S. Pakuliak, E. Ragoucy, and N. A. Slavnov, “Form factors in SU(3)-invariant integrable models,” J. Stat. Mech. 1309, 04033 (2013); arXiv:1211.3968.

    Article  MathSciNet  Google Scholar 

  7. S. Pakuliak, E. Ragoucy, and N. A. Slavnov, “Determinant representations for form factors in quantum integrable models with GL(3)-invariant R-matrix,” Theor. Math. Phys. 181, 1566–1584 (2014); arXiv:1406.5125

    Article  MathSciNet  MATH  Google Scholar 

  8. S. Pakuliak, E. Ragoucy, and N. A. Slavnov, “Form factors in quantum integrable models with GL(3)-invariant R-matrix,” Nucl. Phys. B 881, 343–368 (2014); arXiv:1312.1488.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. S. Pakuliak, E. Ragoucy, and N. A. Slavnov, “Form factors of local operators in a one-dimensional twocomponent Bose gas,” J. Phys. A 48, 435001 (2015); arXiv:1503.00546.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. A. G. Izergin and V. E. Korepin, “The quantum inverse scattering method approach to correlation functions,” Comm. Math. Phys. 94, 67–92 (1984).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. P. P. Kulish and N. Yu. Reshetikhin, “GL(3)-invariant solutions of the Yang-Baxter equation and associated quantum systems,” J. Sov. Math. 34, 1948–1971 (1982).

    Article  Google Scholar 

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Correspondence to Eric Ragoucy.

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The article is published in the original.

Talk given at SQS’2015, JINR-BLTP, Dubna, August 3–8, 2015.

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Ragoucy, E. Bethe vectors and form factors for two-component bose gas. Phys. Part. Nuclei Lett. 14, 336–340 (2017). https://doi.org/10.1134/S1547477117020285

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  • DOI: https://doi.org/10.1134/S1547477117020285

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