Results 31 to 40 of about 862 (261)

Scalar products of Bethe vectors in the 8-vertex model

open access: yesJournal of High Energy Physics, 2020
We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz ...
N. Slavnov, A. Zabrodin, A. Zotov
doaj   +1 more source

Form-factors and complete basis of observables via separation of variables for higher rank spin chains

open access: yesJournal of High Energy Physics, 2022
Integrable sl $$ \mathfrak{sl} $$ (N) spin chains, which we consider in this paper, are not only the prototypical example of quantum integrable systems but also systems with a wide range of applications.
Nikolay Gromov, Nicolò Primi, Paul Ryan
doaj   +1 more source

Quantum projectors and local operators in lattice integrable models [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2003
LaTeX file, 15 pages, no ...
openaire   +3 more sources

On the Bethe states of the one-dimensional supersymmetric t − J model with generic open boundaries

open access: yesJournal of High Energy Physics, 2017
By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t − J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T − Q relation, and the ...
Pei Sun   +7 more
doaj   +1 more source

Exact solution of the quantum integrable model associated with the twisted D 3 2 $$ {\mathrm{D}}_3^{(2)} $$ algebra

open access: yesJournal of High Energy Physics, 2022
We generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted D 3 2 $$ {D}_3^{(2)} $$ algebra (or the D 3 2 $$ {D}_3^{(2)} $$ model) with either periodic or integrable open boundary conditions. We obtain
Guang-Liang Li   +7 more
doaj   +1 more source

Factorization identities and algebraic Bethe ansatz for D 2 2 $$ {D}_2^{(2)} $$ models

open access: yesJournal of High Energy Physics, 2021
We express D 2 2 $$ {D}_2^{(2)} $$ transfer matrices as products of A 1 1 $$ {A}_1^{(1)} $$ transfer matrices, for both closed and open spin chains. We use these relations, which we call factorization identities, to solve the models by algebraic Bethe ...
Rafael I. Nepomechie, Ana L. Retore
doaj   +1 more source

Root patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain

open access: yesJournal of High Energy Physics, 2021
Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without U(1) symmetry, their spectra are usually given by inhomogeneous T − Q relations and ...
Xiong Le   +5 more
doaj   +1 more source

Determinant form of correlators in high rank integrable spin chains via separation of variables

open access: yesJournal of High Energy Physics, 2021
In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl N $$ \mathfrak{gl}(N) $$ symmetry.
Nikolay Gromov   +2 more
doaj   +1 more source

Model-Free Finance and Non-Lattice Integration

open access: yes, 2021
34 ...
Bender, Christian   +2 more
openaire   +2 more sources

On integrable directed polymer models on the square lattice [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2015
31 pages, 2 figures, 4 ...
Thiery, Thimothée, Le Doussal, Pierre
openaire   +2 more sources

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