Results 51 to 60 of about 1,475,999 (336)

2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
We compare the construction of 2D integrable models through two gauge field theories. The first one is the 4D Chern–Simons (4D-CS) theory proposed by Costello and Yamazaki.
A. Levin, M. Olshanetsky, A. Zotov
doaj   +1 more source

Zamolodchikov–Faddeev algebra and quantum quenches in integrable field theories [PDF]

open access: yes, 2011
We analyze quantum quenches in integrable models and in particular we determine the initial state in the basis of eigenstates of the post-quench Hamiltonian. This leads us to consider the set of transformations of creation and annihilation operators that
S. Sotiriadis, D. Fioretto, G. Mussardo
semanticscholar   +1 more source

Purely transmitting integrable defects [PDF]

open access: yes, 2006
Some aspects of integrable field theories possessing purely transmitting defects are described. The main example is the sine-Gordon model and several striking features of a classical field theory containing one or more defects are pointed out.
A.C. Scott   +10 more
core   +3 more sources

Integrable field theories from Poisson algebras [PDF]

open access: yes, 1991
New integrable 1 + 1 dimensional classical field theories are found that include infinite dimensional analogues of N-particle Toda-and Calogero-Moser systems, as well as non-relativistic theories with an interaction that is polynomial in the first ...
Bordemann, M., Hoppe, J., Theisen, S.
core   +1 more source

On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models

open access: yesJournal of High Energy Physics, 2018
We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant R-matrix.
A. Liashyk, N. A. Slavnov
doaj   +1 more source

Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories [PDF]

open access: yes, 1995
We study a series of $N\!=\!1$ supersymmetric integrable particle theories in $d=1+1$ dimensions. These theories are represented as integrable perturbations of specific $N\!=\!1$ superconformal field theories.
Ahn   +20 more
core   +2 more sources

T T ¯ $$ T\overline{T} $$ deformations of non-relativistic models

open access: yesJournal of High Energy Physics, 2021
The light-cone gauge approach to T T ¯ $$ T\overline{T} $$ deformed models is used to derive the T T ¯ $$ T\overline{T} $$ deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation.
Chantelle Esper, Sergey Frolov
doaj   +1 more source

Classically Integrable Cosmological Models with a Scalar Field [PDF]

open access: yes, 1995
New classes of classically integrable models in the cosmological theories with a scalar field are obtained by using freedoms of defining time and fields.
Suzuki, H., Takasugi, E., Takayama, Y.
core   +3 more sources

Why scalar products in the algebraic Bethe ansatz have determinant representation

open access: yesJournal of High Energy Physics, 2019
We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method
S. Belliard, N. A. Slavnov
doaj   +1 more source

Coupling integrable field theories to mechanical systems at the boundary [PDF]

open access: yes, 2001
We present an integrable Hamiltonian which describes the sinh-Gordon model on the half line coupled to a non-linear oscillator at the boundary. We explain how we apply Sklyanin's formalism to a dynamical reflection matrix to obtain this model.
P. Baseilhac, G. Delius
semanticscholar   +1 more source

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