Results 11 to 20 of about 8,186,626 (298)

SCALING LIMITS OF INTEGRABLE QUANTUM FIELD THEORIES [PDF]

Reviews in Mathematical Physics, 2011
Short distance scaling limits of a class of integrable models on two-dimensional Minkowski space are considered in the algebraic framework of quantum field theory. Making use of the wedge-local quantum fields generating these models, it is shown that massless scaling limit theories exist, and decompose into (twisted) tensor products of chiral ...
Bostelmann, H, Lechner, G, MORSELLA, GERARDO   +2 more
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Symplectic deformations of integrable field theories and AdS/CFT [PDF]

Physics Letters B, 2014
Relativistic integrable field theories like the sine-Gordon equation have an infinite set of conserved charges. In a light-front formalism these conserved charges are closely related to the integrable modified KdV hierarchy at the classical level.
Timothy J. Hollowood, J. Luis Miramontes
doaj   +2 more sources

Deformations of Quantum Field Theories and Integrable Models [PDF]

Communications in Mathematical Physics, 2011
Deformations of quantum field theories which preserve Poincaré covariance and localization in wedges are a novel tool in the analysis and construction of model theories. Here a general scenario for such deformations is discussed, and an infinite class of explicit examples is constructed on the Borchers-Uhlmann algebra underlying Wightman quantum field ...
Gandalf Lechner, Lechner, Gandalf
openaire   +5 more sources

Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

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
doaj   +1 more source

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.
openaire   +3 more sources

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.
openaire   +3 more sources

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
doaj   +1 more source

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, János Balog, István Vona   +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
doaj   +1 more source

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, Rob Klabbers, Edwin Langmann   +2 more
doaj   +1 more source