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
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.
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.
N. A. Slavnov, “One-dimensional two-component Bose gas and the algebraic Bethe ansatz,” arXiv:1502.06749.
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.
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.
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.
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
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.
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.
A. G. Izergin and V. E. Korepin, “The quantum inverse scattering method approach to correlation functions,” Comm. Math. Phys. 94, 67–92 (1984).
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).
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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