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Universal Bethe Ansatz and Scalar Products of Bethe Vectors [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2010
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra U_q(^gl_3) is given.
Eric Ragoucy, Stanislav Pakuliak, Samuel Belliard   +2 more
doaj   +6 more sources

Bethe Ansatz inside Calogero-Sutherland models [PDF]

SciPost Physics
We study the trigonometric quantum spin-Calogero–Sutherland model, and the Haldane–Shastry spin chain as a special case, using a Bethe-Ansatz analysis. We harness the model's Yangian symmetry to import the standard tools of integrability for Heisenberg ...
Gwenaël Ferrando, Jules Lamers, Fedor Levkovich-Maslyuk, Didina Serban
doaj   +7 more sources

Boundary perimeter Bethe ansatz [PDF]

Journal of Physics A: Mathematical and Theoretical, 2017
21 pages, 10 ...
Frassek, Rouven, Rouven Frassek, Frassek R   +2 more
openaire   +6 more sources

RIGGED CONFIGURATIONS AND THE BETHE ANSATZ [PDF]

Symmetry and Structural Properties of Condensed Matter, 2003
24 pages; lecture notes; axodraw style file ...
Schilling, A., ANNE SCHILLING, Schilling, Anne   +2 more
openaire   +6 more sources

Bethe Ansatz for Quantum Strings [PDF]

Journal of High Energy Physics, 2004
22 pages, LaTeX, JHEP3.cls;v2: minor changes, typos fixed; v3: explicit, general formula for confluent mode numbers ...
Arutyunov, G., Frolov, S., Staudacher, M.   +2 more
core   +10 more sources

Bethe Ansatz [PDF]

The Bethe Ansatz is a powerful method in the theory of quantum integrable models, essential for determining the energy spectrum of dynamical systems - from spin chains in magnetism to models in high-energy physics. This book provides a comprehensive introduction to the Bethe ansatz, from its historical roots to modern developments.
Göhmann, Frank
core   +4 more sources

Asymmetric Bethe Ansatz

SciPost Physics Core
The recently proposed exact quantum solution for two $\delta$-function-interacting particles with a mass-ratio $3\!:\!1$ in a hard-wall box [Y. Liu, F. Qi, Y. Zhang and S. Chen, iScience 22, 181 (2019)] violates the conventional necessary condition for a
Steven G. Jackson, Hélène Perrin, Gregory E. Astrakharchik, Maxim Olshanii
doaj   +4 more sources

Semiclassical Bethe ansatz and AdS/CFT [PDF]

Fortschritte der Physik, 2005
AbstractThe Bethe ansatz can be used to compute anomalous dimensions in 𝒩 = 4 SYM theory. The classical solutions of the sigma‐model on AdS5 × S5 can also be parameterized by an integral equation of Bethe type. The relationship between the two Bethe ansätze is reviewed.
Zarembo, Konstantin,
openaire   +5 more sources

Bethe Ansatz for the Ruijsenaars Model of BC_1-Type [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We consider one-dimensional elliptic Ruijsenaars model of type $BC_1$. It is given by a three-term difference Schrödinger operator $L$ containing 8 coupling constants.
Oleg Chalykh
doaj   +1 more source

The Bethe ansatz as a matrix product ansatz [PDF]

Journal of Physics A: Mathematical and General, 2003
4 pages and no ...
Alcaraz, Francisco C., Lazo, Matheus J.
openaire   +3 more sources