Journal of High Energy Physics, ISSN 1126-6708, 06/2018, Volume 2018, Issue 6, p. 1

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/JHEP06(2018)018 We consider...

Lattice Integrable Models | Integrable Field Theories

Lattice Integrable Models | Integrable Field Theories

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 04/2018, Volume 2018, Issue 4, p. 1

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/JHEP04(2018)031 We consider...

Integrable Hierarchies | Quantum Groups

Integrable Hierarchies | Quantum Groups

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 04/2015, Volume 893, pp. 459 - 481

We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)-invariant R-matrix. Assuming that the monodromy matrix of the...

SCALAR PRODUCTS | MANY-BODY PROBLEM | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Physics | Nuclear and particle physics. Atomic energy. Radioactivity | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and High Energy Physics | Nonlinear Sciences - Exactly Solvable and Integrable Systems

SCALAR PRODUCTS | MANY-BODY PROBLEM | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Physics | Nuclear and particle physics. Atomic energy. Radioactivity | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and High Energy Physics | Nonlinear Sciences - Exactly Solvable and Integrable Systems

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 10/2017, Volume 923, Issue C, pp. 277 - 311

We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by gl(m|n) superalgebra. Using coproduct...

FORM-FACTORS | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and particle physics. Atomic energy. Radioactivity | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | Exactly Solvable and Integrable Systems

FORM-FACTORS | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and particle physics. Atomic energy. Radioactivity | Strongly Correlated Electrons | Condensed Matter | Nonlinear Sciences | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | Exactly Solvable and Integrable Systems

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 01/2018, Volume 926, Issue C, pp. 256 - 278

We study quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl(m|n)-invariant R-matrix. We compute the norm of the...

REPRESENTATIONS | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematical Physics | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]

REPRESENTATIONS | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematical Physics | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 10/2016, Volume 911, Issue C, pp. 902 - 927

We study integrable models solvable by the nested algebraic Bethe ansatz and described by gl(2|1) or gl(1|2) superalgebras. We obtain explicit determinant...

SPIN | ALGEBRAIC BETHE-ANSATZ | QUANTUM | SCATTERING | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Physics | Nuclear and particle physics. Atomic energy. Radioactivity | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and High Energy Physics | High Energy Physics - Theory | Condensed Matter - Strongly Correlated Electrons

SPIN | ALGEBRAIC BETHE-ANSATZ | QUANTUM | SCATTERING | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Physics | Nuclear and particle physics. Atomic energy. Radioactivity | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and High Energy Physics | High Energy Physics - Theory | Condensed Matter - Strongly Correlated Electrons

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2015, Volume 48, Issue 43, pp. 435001 - 21

We consider a one-dimensional model of a two-component Bose gas and study form factors of local operators in this model. For this aim, we use an approach based...

Bethe ansatz | form factors | one-dimensional two-component Bose gas | QUANTUM INTEGRABLE MODELS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Operators (mathematics) | Operators | Algebra | Determinants | Mathematical models | Representations | Form factors

Bethe ansatz | form factors | one-dimensional two-component Bose gas | QUANTUM INTEGRABLE MODELS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Operators (mathematics) | Operators | Algebra | Determinants | Mathematical models | Representations | Form factors

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 04/2014, Volume 881, Issue 1, pp. 343 - 368

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 | Nested algebraic Bethe ansatz | Nested algebraic bethe ansatz | CHAIN | SINE-GORDON MODEL | WAVE-FUNCTIONS | FIELD-THEORIES | REGIME | XXZ MODEL | OPERATORS | EQUATION | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Nuclear and High Energy Physics

Form factors | Nested algebraic Bethe ansatz | Nested algebraic bethe ansatz | CHAIN | SINE-GORDON MODEL | WAVE-FUNCTIONS | FIELD-THEORIES | REGIME | XXZ MODEL | OPERATORS | EQUATION | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Nuclear and High Energy Physics

Journal Article

02/2018

JHEP 1804 (2018) 031 We consider $\mathfrak{gl}_2$-invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of...

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 10/2019, Volume 2019, Issue 10, pp. 1 - 17

...: October 8, 2019 Why scalar products in the algebraic Bethe ansatz have determinant representation S. Belliarda and N.A. Slavnovb aInstitut Denis-Poisson, Université...

Lattice Integrable Models | Integrable Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | XXZ CHAIN | SEGMENT | FORM-FACTORS | PHYSICS, PARTICLES & FIELDS | Linear equations | Vectors (mathematics)

Lattice Integrable Models | Integrable Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | XXZ CHAIN | SEGMENT | FORM-FACTORS | PHYSICS, PARTICLES & FIELDS | Linear equations | Vectors (mathematics)

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 09/2018, Volume 2018, Issue 9, p. 93103

We consider closed XXX spin chains with broken total spin U(1) symmetry within the framework of the modified algebraic Bethe ansatz. We study multiple actions...

algebraic structures of integrable models | form factors | ladders and planes | correlation functions | spin chains | MECHANICS | SPIN-1/2 CHAIN | MODELS | FORM-FACTORS | PHYSICS, MATHEMATICAL

algebraic structures of integrable models | form factors | ladders and planes | correlation functions | spin chains | MECHANICS | SPIN-1/2 CHAIN | MODELS | FORM-FACTORS | PHYSICS, MATHEMATICAL

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2014, Volume 47, Issue 10

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 04/2017, Volume 2017, Issue 4, p. 43106

We apply the nested algebraic Bethe ansatz to the models with gl(2|1) and gl(1|2) supersymmetry. We show that form factors of local operators in these models...

Hubbard and related model | form factors | quantum integrability (Bethe ansatz) | INVERSE PROBLEM | ELECTRONS | MANY-BODY PROBLEM | T-J MODEL | DYNAMICAL CORRELATION-FUNCTIONS | PHYSICS, MATHEMATICAL | MECHANICS | DIMENSION | ALGEBRAIC BETHE-ANSATZ | SYSTEMS | EQUATION | VECTORS

Hubbard and related model | form factors | quantum integrability (Bethe ansatz) | INVERSE PROBLEM | ELECTRONS | MANY-BODY PROBLEM | T-J MODEL | DYNAMICAL CORRELATION-FUNCTIONS | PHYSICS, MATHEMATICAL | MECHANICS | DIMENSION | ALGEBRAIC BETHE-ANSATZ | SYSTEMS | EQUATION | VECTORS

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2016, Volume 49, Issue 45, pp. 1 - 28

We study the scalar products of Bethe vectors in integrable models solvable by the nested algebraic Bethe ansatz and possessing gl(2 vertical bar 1) symmetry....

algebraic Bethe ansatz | Bethe vectors | scalar product | integrable systems | WAVE-FUNCTIONS | PHYSICS, MULTIDISCIPLINARY | MATRICES | PHYSICS, MATHEMATICAL | ANSATZ

algebraic Bethe ansatz | Bethe vectors | scalar product | integrable systems | WAVE-FUNCTIONS | PHYSICS, MULTIDISCIPLINARY | MATRICES | PHYSICS, MATHEMATICAL | ANSATZ

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 11/2016, Volume 189, Issue 2, pp. 1624 - 1644

We consider quantum integrable models with the gl(2|1) symmetry and derive a set of multiple commutation relations between the monodromy matrix elements. These...

Bethe ansatz | monodromy matrix | Applications of Mathematics | Theoretical, Mathematical and Computational Physics | Physics | commutation relation | ONE-DIMENSION | CHAIN | PHYSICS, MULTIDISCIPLINARY | T-J MODEL | PHYSICS, MATHEMATICAL | BETHE-ANSATZ

Bethe ansatz | monodromy matrix | Applications of Mathematics | Theoretical, Mathematical and Computational Physics | Physics | commutation relation | ONE-DIMENSION | CHAIN | PHYSICS, MULTIDISCIPLINARY | T-J MODEL | PHYSICS, MATHEMATICAL | BETHE-ANSATZ

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 03/2015, Volume 2015, Issue 3, pp. P03019 - 25

We study quantum integrable GL(3)-based models with a trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. We derive a determinant...

Quantum integrability (Bethe Ansatz) | Form factors | Functions | QUANTUM INTEGRABLE MODELS | form factors | INVERSE SCATTERING METHOD | WAVE-FUNCTIONS | MECHANICS | FORM-FACTORS | quantum integrability (Bethe Ansatz) | PHYSICS, MATHEMATICAL | correlation functions | Algebra | Mathematical analysis | Determinants | Scalars | Representations | Vectors (mathematics) | Statistical mechanics

Quantum integrability (Bethe Ansatz) | Form factors | Functions | QUANTUM INTEGRABLE MODELS | form factors | INVERSE SCATTERING METHOD | WAVE-FUNCTIONS | MECHANICS | FORM-FACTORS | quantum integrability (Bethe Ansatz) | PHYSICS, MATHEMATICAL | correlation functions | Algebra | Mathematical analysis | Determinants | Scalars | Representations | Vectors (mathematics) | Statistical mechanics

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 10/2012, Volume 2012, Issue 10, pp. 1 - 25

We study SU (3)-invariant integrable models solvable by a nested algebraic Bethe ansatz. We obtain a determinant representation for the particular case of...

integrable spin chains (vertex models) | quantum integrability (Bethe ansatz) | XXZ CHAIN | INVERSE SCATTERING METHOD | WAVE-FUNCTIONS | MECHANICS | FORM-FACTORS | SPIN CORRELATION-FUNCTIONS | MAGNETIC-FIELD | PHYSICS, MATHEMATICAL | Correlation | Algebra | Mathematical analysis | Scalars | Mathematical models | Representations | Vectors (mathematics) | Statistical mechanics

integrable spin chains (vertex models) | quantum integrability (Bethe ansatz) | XXZ CHAIN | INVERSE SCATTERING METHOD | WAVE-FUNCTIONS | MECHANICS | FORM-FACTORS | SPIN CORRELATION-FUNCTIONS | MAGNETIC-FIELD | PHYSICS, MATHEMATICAL | Correlation | Algebra | Mathematical analysis | Scalars | Mathematical models | Representations | Vectors (mathematics) | Statistical mechanics

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 05/2013, Volume 2013, Issue 4, pp. 1 - 16

We study SU(3)-invariant integrable models solvable by a nested algebraic Bethe ansatz. We obtain determinant representations for form factors of diagonal...

algebraic structures of integrable models | form factors | quantum integrability (Bethe ansatz) | XXZ CHAIN | WAVE-FUNCTIONS | MECHANICS | SPIN CORRELATION-FUNCTIONS | MAGNETIC-FIELD | PHYSICS, MATHEMATICAL | Correlation | Algebra | Chains | Determinants | Mathematical models | Representations | Statistical mechanics | Form factors

algebraic structures of integrable models | form factors | quantum integrability (Bethe ansatz) | XXZ CHAIN | WAVE-FUNCTIONS | MECHANICS | SPIN CORRELATION-FUNCTIONS | MAGNETIC-FIELD | PHYSICS, MATHEMATICAL | Correlation | Algebra | Chains | Determinants | Mathematical models | Representations | Statistical mechanics | Form factors

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 6/2015, Volume 183, Issue 3, pp. 800 - 821

We apply the nested algebraic Bethe ansatz to a model of a one-dimensional two-component Bose gas with a δ-function repulsive interaction. Using a lattice...

Bethe ansatz | monodromy matrix | Applications of Mathematics | Theoretical, Mathematical and Computational Physics | Bethe vector | Physics | MODELS | PHYSICS, MULTIDISCIPLINARY | MANY-BODY PROBLEM | FORM-FACTORS | QUANTUM | PHYSICS, MATHEMATICAL

Bethe ansatz | monodromy matrix | Applications of Mathematics | Theoretical, Mathematical and Computational Physics | Bethe vector | Physics | MODELS | PHYSICS, MULTIDISCIPLINARY | MANY-BODY PROBLEM | FORM-FACTORS | QUANTUM | PHYSICS, MATHEMATICAL

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 02/2013, Volume 2013, Issue 2, pp. 1 - 24

We study GL(3)-invariant integrable models solvable by the nested algebraic Bethe ansatz. Different formulas are given for the Bethe vectors and the actions of...

algebraic structures of integrable models | form factors | quantum integrability (Bethe ansatz) | SYSTEM | QUANTUM | WEIGHT FUNCTION | PHYSICS, MATHEMATICAL | AFFINE ALGEBRA U-Q((GL)OVER-CAP(N)) | CHAIN | WAVE-FUNCTIONS | MECHANICS | FORM-FACTORS | TRANSFER-MATRICES | EQUATION | ANSATZ | Operators | Correlation | Algebra | Mathematical analysis | Generators | Mathematical models | Vectors (mathematics) | Statistical mechanics

algebraic structures of integrable models | form factors | quantum integrability (Bethe ansatz) | SYSTEM | QUANTUM | WEIGHT FUNCTION | PHYSICS, MATHEMATICAL | AFFINE ALGEBRA U-Q((GL)OVER-CAP(N)) | CHAIN | WAVE-FUNCTIONS | MECHANICS | FORM-FACTORS | TRANSFER-MATRICES | EQUATION | ANSATZ | Operators | Correlation | Algebra | Mathematical analysis | Generators | Mathematical models | Vectors (mathematics) | Statistical mechanics

Journal Article

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