Results 111 to 120 of about 1,573,184 (216)

Ladder Operators for Integrable One-Dimensional Lattice Models

, 2002
A generalised ladder operator is used to construct the conserved operators for any model derived from the Yang-Baxter equation. As an example, the low order conserved operators for the XYh model are calculated explicitly.
Takizawa, M., Links, J.
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On the algebraic approach to solvable lattice models

Journal of High Energy Physics, 2019
We treat here interaction round the face (IRF) solvable lattice models. We study the algebraic structures underlining such models. For the three block case, we show that the Yang Baxter equation is obeyed, if and only if, the Birman-Murakami-Wenzl (BMW ...
Vladimir Belavin, Doron Gepner
doaj   +1 more source

Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields

Journal of High Energy Physics
We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the U(1)-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy and the ...
Zhirong Xin, Junpeng Cao, Wen-Li Yang, Yupeng Wang   +3 more
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Toda chain from the kink-antikink lattice

, 2016
In this paper, we have studied the kink and antikink solutions in several neutral scalar models in 1+1 dimension. We follow the standard approach to write down the leading order and the second order force between long distance separated kink and antikink.
He, Song, Jiang, Yunguo, Liu, Jiazhen
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Integrable Models and the Toda Lattice Hierarchy

, 1999
A pedagogical presentation of integrable models with special reference to the Toda lattice hierarchy has been attempted. The example of the KdV equation has been studied in detail, beginning with the infinite conserved quantities and going on to the Lax formalism for the same.
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Embedding integrable spin models in solvable vertex models on the square lattice

Nuclear Physics B
Exploring a mapping among n-state spin and vertex models on the square lattice, we argue that a given integrable spin model with edge weights satisfying the rapidity difference property can be formulated in the framework of an equivalent solvable vertex ...
M.J. Martins
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On different approaches to integrable lattice models II

one ...
Belavin, Vladimir, Gepner, Doron, Cabezas, Juan Ramos, Runov, Boris   +3 more
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Managing singular kernels and logarithmic corrections in the staggered six-vertex model

Journal of High Energy Physics
In this paper, we investigate the spectral properties of the staggered six-vertex model with Z 2 $$ {\mathcal{Z}}_2 $$ symmetry for arbitrary system sizes L using non-linear integral equations (NLIEs). Our study is motivated by two key questions: what is
Mouhcine Azhari, Andreas Klümper
doaj   +1 more source

Integrable chain models with staggered R-matrices

, 2001
The technique of construction on Manhattan lattice (ML) the fermionic action for Integrable models is presented. The Sign-Factor of 3D Ising model (SF of 3DIM) and Chalker-Coddington-s phenomenological model (CCM) for the edge excitations in Hall effect ...
Sedrakyan, A.
core   +1 more source

The large Limit of ( ) Integrals in Lattice Models

Nuclear Physics, 2020
The standard U(N) and SU(N) integrals are calculated in the large N limit. Our main finding is that for an important class of integrals this limit is different for two groups. We describe the critical behaviour of SU(N) models and discuss implications of our results for the large N behaviour of SU(N) lattice gauge theories at finite temperatures and ...
Borisenko, O., Chelnokov, V., Voloshyn, S.   +2 more
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