Results 11 to 20 of about 136,344 (208)
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 +2 more
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Bethe Ansatz inside Calogero-Sutherland models [PDF]
SciPost PhysicsWe 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
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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,
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RIGGED CONFIGURATIONS AND THE BETHE ANSATZ [PDF]
Symmetry and Structural Properties of Condensed Matter, 2003 24 pages; lecture notes; axodraw style file ...
Schilling, A. +2 more
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Boundary perimeter Bethe ansatz [PDF]
Journal of Physics A: Mathematical and Theoretical, 2017 Abstract We study the partition function of the six-vertex model in the rational limit on arbitrary Baxter lattices with reflecting boundary. Every such lattice is interpreted as an invariant of the twisted Yangian. This identification allows us to relate the partition function of the vertex model to the Bethe wave function of an open
Frassek, Rouven +2 more
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Bethe Ansatz for the Ruijsenaars Model of BC_1-Type
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
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SciPost Physics CoreThe 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
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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.
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Supersymmetric Vacua and Bethe Ansatz [PDF]
Nuclear Physics B - Proceedings Supplements, 2009 An announcement of some results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians. The Heisenberg spin chain is mapped to the two dimensional U(N) theory with fundamental hypermultiplets, the XXZ ...
Nekrasov, Nikita A. +1 more
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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