Results 1 to 10 of about 30,334 (209)
Nonstandard Bethe Ansatz equations for open O(N) spin chains
Nuclear Physics B, 2018 The double row transfer matrix of the open O(N) spin chain is diagonalized and the Bethe Ansatz equations are also derived by the algebraic Bethe Ansatz method including the so far missing case when the residual symmetry is O(2M+1)×O(2N−2M−1).
Tamás Gombor
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Algebraic geometry and Bethe ansatz. Part I. The quotient ring for BAE
Journal of High Energy Physics, 2018 In this paper and upcoming ones, we initiate a systematic study of Bethe ansatz equations for integrable models by modern computational algebraic geometry.
Yunfeng Jiang, Yang Zhang
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Bethe states of the trigonometric SU(3) spin chain with generic open boundaries
Nuclear Physics B, 2018 By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the trigonometric SU(3) model with generic open boundaries.
Pei Sun +9 more
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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 spectrum of quantum-group-invariant transfer matrices
Nuclear Physics B, 2019 Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras gˆ, and from certain K-matrices (reflection matrices) depending on a discrete parameter p, were recently considered in arXiv ...
Rafael I. Nepomechie, Ana L. Retore
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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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The large-N limit of 4d superconformal indices for general BPS charges
Journal of High Energy Physics, 2022 We study the superconformal index of N $$ \mathcal{N} $$ = 1 quiver theories at large-N for general values of electric charges and angular momenta, using both the Bethe Ansatz formulation and the more recent elliptic extension method. We are particularly
Edoardo Colombo
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Nuclear Physics B, 2021 In the present paper we develop the algebraic Bethe ansatz approach to the case of non-skew-symmetric gl(2)⊗gl(2)-valued Cartan-non-invariant classical r-matrices with spectral parameters. We consider the two families of these r-matrices, namely, the two
T. Skrypnyk, N. Manojlović
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The Bethe Ansatz as a Quantum Circuit [PDF]
QuantumThe Bethe ansatz represents an analytical method enabling the exact solution of numerous models in condensed matter physics and statistical mechanics. When a global symmetry is present, the trial wavefunctions of the Bethe ansatz consist of plane wave ...
Roberto Ruiz +4 more
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SU(N) Matrix Difference Equations and a Nested Bethe Ansatz [PDF]
, 1996 A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called "off shell" Bethe Ansatz. The highest weight property of the solutions is proved.
Babujian, H., Karowski, M., Zapletal, A.
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