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Integrable coupled massive Thirring model with field values in a Grassmann algebra
Journal of High Energy Physics, 2023 A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this ...
B. Basu-Mallick +3 more
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CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS [PDF]
International Journal of Modern Physics A, 2004 Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example given in the article concerns single real scalar fields in each domain and it is found that these may be free, of Liouville type, or of sinh-Gordon type.
Bowcock, P., Corrigan, E., Zambon, C.
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Journal of High Energy Physics, 2023 Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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Noncommutative integrable field theories in 2d [PDF]
Nuclear Physics B, 2003 We study the noncommutative generalization of (euclidean) integrable models in two-dimensions, specifically the sine- and sinh-Gordon and the U(N) principal chiral models. By looking at tree-level amplitudes for the sinh-Gordon model we show that its na\"ıve noncommutative generalization is {\em not} integrable. On the other hand, the addition of extra
Cabrera-Camero, I, Moriconi, M.
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Integrability of coupled conformal field theories [PDF]
Nuclear Physics B, 1998 The massive phase of two-layer integrable systems is studied by means of RSOS restrictions of affine Toda theories. A general classification of all possible integrable perturbations of coupled minimal models is pursued by an analysis of the (extended) Dynkin diagrams.
LeClair A +2 more
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Integrability of generalised type II defects in affine Toda field theory
Journal of High Energy Physics, 2017 The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect.
Rebecca Bristow
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The full analytic trans-series in integrable field theories
Physics Letters B, 2023 We analyze a family of generalized energy densities in integrable quantum field theories in the presence of an external field coupled to a conserved charge.
Zoltán Bajnok +2 more
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Momentum conserving defects in affine Toda field theories
Journal of High Energy Physics, 2017 Type II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the existence of a conserved momentum in the presence of the defect.
Rebecca Bristow, Peter Bowcock
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The non-chiral intermediate Heisenberg ferromagnet equation
Journal of High Energy Physics, 2022 We present and solve a soliton equation which we call the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation. This equation, which depends on a parameter δ > 0, describes the time evolution of two coupled spin densities propagating on the ...
Bjorn K. Berntson +2 more
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Lax connections in -deformed integrable field theories * [PDF]
Chinese Physics C, 2021 Abstract In this work, we attempt to construct the Lax connections of -deformed integrable field theories in two different ways. With reasonable assumptions, we make an ansatz and find the Lax pairs in the
Chen,Bin, Hou,Jue, Tian,Jia
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