Results 11 to 20 of about 840 (180)
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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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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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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LARGE-N AND BETHE ANSATZ [PDF]
Modern Physics Letters A, 2004 We describe an integrable model, related to the Gaudin magnet, and its relation to the matrix model of Brézin, Itzykson, Parisi and Zuber. Relation is based on Bethe ansatz for the integrable model and its interpretation using orthogonal polynomials and saddle point approximation.
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Discrete thermodynamic Bethe ansatz [PDF]
Nuclear Physics B, 2001 We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N-body Calogero-Moser thermodynamics. We apply this algorithm to the Lieb-Liniger model in a harmonic well, a model which is relevant for the microscopic ...
Bergere, Michel +2 more
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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. +2 more
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Bethe states of the XXZ spin-12 chain with arbitrary boundary fields
Nuclear Physics B, 2015 Based on the inhomogeneous T−Q relation constructed via the off-diagonal Bethe Ansatz, the Bethe-type eigenstates of the XXZ spin-12 chain with arbitrary boundary fields are constructed.
Xin Zhang +5 more
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Transfer matrices for AdS3/CFT2
Journal of High Energy Physics, 2022 We work out the algebraic Bethe ansatz for the worldsheet theory of the AdS 3 × S 3 × T 4 superstring, and use it to derive the transfer matrices for fundamental particles and bound states of the string and mirror model.
Fiona K. Seibold, Alessandro Sfondrini
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Introduction to the Bethe Ansatz II
Computers in Physics, 1998 Building on the fundamentals introduced in part I, we employ the Bethe ansatz to study some ground-state properties (energy, magnetization, susceptibility) of the one-dimensional s=1/2 Heisenberg antiferromagnet in zero and nonzero magnetic field. The 2-spinon triplet and singlet excitations from the zero-field ground state are discussed in detail, and
Karbach, Michael +2 more
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