Аннотация:
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)-invariant
R-matrix. We obtain determinant representations for form factors of off-diagonal entries of the monodromy
matrix. These representations can be used for the calculation of form factors and correlation functions of
the XXX SU(3)-invariant Heisenberg chain.
The work of S.P. was supported in part by RFBR grant 11-01-00980-a and grant of Scientific Foundation of NRU HSE 12-09-0064. E.R. was supported by ANR Project DIADEMS (Programme Blanc ANR SIMI1 2010-BLAN-0120-02). N.A.S. was supported by the Program of RAS Basic Problems of the Nonlinear Dynamics, RFBR-11-01-00440-a, RFBR-13-01-12405-ofi-m2, SS-4612.2012.1.
Поступила в редакцию: 10.01.2014 Исправленный вариант: 11.02.2014 Принята в печать: 12.02.2014
Реферативные базы данных:
Тип публикации:
Статья
Язык публикации: английский
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nphb7
Эта публикация цитируется в следующих 27 статьяx:
Nikolay Gromov, Nicolò Primi, Paul Ryan, “Form-factors and complete basis of observables via separation of variables for higher rank spin chains”, J. High Energ. Phys., 2022:11 (2022)
A. Hutsalyuk, B. Pozsgay, L. Pristyák, “The LeClair-Mussardo series and nested Bethe Ansatz”, Nuclear Physics B, 964 (2021), 115306
Giuliano Niccoli, Hao Pei, Véronique Terras, “Correlation functions by separation of variables: the XXX spin chain”, SciPost Phys., 10:1 (2021)
Н. А. Славнов, “Производящая функция для скалярных произведений в алгебраическом анзаце Бете”, ТМФ, 204:3 (2020), 453–465; N. A. Slavnov, “Generating function for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 204:3 (2020), 1216–1226
Neil J Robinson, Jean-Sébastien Caux, Robert M Konik, “Light cone dynamics in excitonic states of two-component Bose and Fermi gases”, J. Stat. Mech., 2020:1 (2020), 013103
N. A. Slavnov, “Introduction to the nested algebraic Bethe ansatz”, SciPost Phys. Lect. Notes, 19 (2020), 1–53
J M Maillet, G Niccoli, “Complete spectrum of quantum integrable lattice models associated to Uq(^gln) by separation of variables”, J. Phys. A: Math. Theor., 52:31 (2019), 315203
Jean Michel Maillet, Giuliano Niccoli, “Complete spectrum of quantum integrable lattice models associated to Y(gl(n)) by separation of variables”, SciPost Phys., 6:6 (2019)
Н. А. Славнов, “Детерминантные представления для скалярных произведений в алгебраическом анзаце Бете”, ТМФ, 197:3 (2018), 435–443; N. A. Slavnov, “Determinant representations for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 197:3 (2018), 1771–1778
H Boos, A Hutsalyuk, Kh S Nirov, “On the calculation of the correlation functions of the $ \newcommandt{\mathfrak{sl}_2} \newcommandtr{\mathfrak{sl}_3} \sltr$ -model by means of the reduced qKZ equation”, J. Phys. A: Math. Theor., 51:44 (2018), 445202
S. Belliard, N. A. Slavnov, B. Vallet, “Scalar product of twisted XXX modified Bethe vectors”, J. Stat. Mech., 2018:9 (2018), 93103–28
Andrew J A James, Robert M Konik, Philippe Lecheminant, Neil J Robinson, Alexei M Tsvelik, “Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-Abelian bosonization to truncated spectrum methods”, Rep. Prog. Phys., 81:4 (2018), 046002
Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Scalar products and norm of Bethe vectors for integrable models based on Uq(^gln)”, SciPost Phys., 4 (2018), 6–30
Stanislav Pakuliak, Eric Ragoucy, Nikita Slavnov, “Nested Algebraic Bethe Ansatz in integrable models: recent results”, SciPost Phys. Lect. Notes, 2018
Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov, “New construction of eigenstates and separation of variables for SU(N) quantum spin chains”, J. High Energ. Phys., 2017:9 (2017)
A. A. Hutsalyuk, A. N. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Scalar products of Bethe vectors in models with gl(2|1) symmetry 2. Determinant representation”, J. Phys. A, 50:3 (2017), 34004–22
Eric Ragoucy, “Bethe vectors and form factors for two-component bose gas”, Phys. Part. Nuclei Lett., 14:2 (2017), 336
Karol K. Kozlowski, Eric Ragoucy, “Asymptotic behaviour of two-point functions in multi-species models”, Nuclear Physics B, 906 (2016), 241
A. Hustalyuk, A. Liashyk, S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models”, Nuclear Phys. B, 911 (2016), 902–927