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GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
Інший ID:
2010 Mathematics Subject Classification: 17B37; 81R50
DOI:10.3842/SIGMA.2015.64
DOI:10.3842/SIGMA.2015.64
Посилання:
GL(3) -Based Quantum Integrable Composite Models. II. Form Factors of Local Operators / S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 39 назв. — англ.
Підтримка:
The work of S.P. was supported in part by RFBR-Ukraine grant 14-01-90405-ukr-a. N.A.S. was
supported by the Program of RAS “Nonlinear Dynamics in Mathematics and Physics”, RFBR14-01-00860-a,
RFBR-13-01-12405-ofi-m2.
Дата:
2015
Переглядів:
500
Завантажень:
230
Анотація:
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product of two partial monodromy matrices. Assuming that the last ones can be expanded into series with respect to the inverse spectral parameter we calculate matrix elements of the local operators in the basis of the transfer matrix eigenstates. We obtain determinant representations for these matrix elements. Thus, we solve the inverse scattering problem in a weak sense.
