YANGIANS IN INTEGRABLE FIELD THEORIES, SPIN CHAINS AND GAUGE-STRING DUALITIES [PDF]
, 2012 In the following paper, which is based on the author's PhD thesis submitted to Imperial College London, we explore the applicability of Yangian symmetry to various integrable models, in particular, in relation with S-matrices.
F. Spill
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On characteristic integrals of Toda field theories [PDF]
Journal of Nonlinear Mathematical Physics, 2021 Characteristic integrals of Toda field theories associated to simple Lie algebras are presented in the most explicit forms, both in terms of the formulas and in terms of the proofs.
openaire +3 more sources
T T ¯ $$ T\overline{T} $$ deformations of non-relativistic models
Journal 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
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Negative energy densities in integrable quantum field theories at one-particle level [PDF]
, 2015 We study the phenomenon of negative energy densities in quantum field theories with self-interaction. Specifically, we consider a class of integrable models (including the sinh-Gordon model) in which we investigate the expectation value of the energy ...
Henning Bostelmann, D. Cadamuro
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On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models
Journal 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
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Zamolodchikov–Faddeev algebra and quantum quenches in integrable field theories [PDF]
, 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
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Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories [PDF]
, 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
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Quench echo and work statistics in integrable quantum field theories. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2014 We propose a boundary thermodynamic Bethe ansatz calculation technique to obtain the Loschmidt echo and the statistics of the work done when a global quantum quench is performed on an integrable quantum field theory.
T. Pálmai, S. Sotiriadis
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Why scalar products in the algebraic Bethe ansatz have determinant representation
Journal 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
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Classically Integrable Cosmological Models with a Scalar Field [PDF]
, 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.
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