Results 21 to 30 of about 7,333,366 (298)
Integral Lattice Models from Gauge Theory [PDF]
Notices of the International Congress of Chinese Mathematicians, 2017 20 ...
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Yang-Baxter maps and the discrete KP hierarchy [PDF]
, 2009 We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with ...
Kakei, S., Willox, R., Nimmo, J.J.C.
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On different approaches to integrable lattice models [PDF]
, 2023 Interaction-Round the Face (IRF) models are two-dimensional lattice models of statistical mechanics defined by an affine Lie algebra and admissibility conditions depending on a choice of representation of that affine Lie algebra. Integrable IRF models, i.
Cabezas, J. Ramos +3 more
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Darboux transformation with dihedral reduction group [PDF]
, 2014 We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund transformation can be viewed as a nonevolutionary integrable differential difference ...
Papamikos, Georgios +6 more
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''New'' boundary conditions in integrable lattice models [PDF]
Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000 4 pages, JHEP proceedings style, talk presented at the TMR conference ``Non-perturbative Quantum Effects 2000''
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Lattice integrals of motion of the Ising model on the cylinder [PDF]
Physica A: Statistical Mechanics and its Applications, 2013 We consider the 2D critical Ising model with spatially periodic boundary conditions. It is shown that for a suitable reparametrization of the known Boltzmann weights the transfer matrix becomes a polynomial in the variable $\csc(4u)$, being $u$ the spectral parameter.
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The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice [PDF]
, 2005 It is shown that the 2-discrete dimensional Lotka-Volterra lattice, the two dmensional Toda lattice equation and the recent 2-discrete dimensional Toda lattice equation of Santini et al can be obtained from a 2-discrete 2-continuous dimensional Lotka ...
Gilson, C.R. +3 more
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A novel class of translationally invariant spin chains with long-range interactions
Journal of High Energy Physics, 2020 We introduce a new class of open, translationally invariant spin chains with long-range interactions depending on both spin permutation and (polarized) spin reversal operators, which includes the Haldane-Shastry chain as a particular degenerate case. The
B. Basu-Mallick +2 more
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On zero-remainder conditions in the Bethe ansatz
Journal of High Energy Physics, 2020 We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised ...
Etienne Granet, Jesper Lykke Jacobsen
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Exact solution of the quantum integrable model associated with the Motzkin spin chain
Journal of High Energy Physics, 2023 The Motzkin spin chain is a spin-1 frustration-free model introduced by Shor & Movassagh. The ground state is constructed by mapping random walks on the upper half of the square lattice to spin configurations. It has unusually large entanglement entropy [
Kun Hao +2 more
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