Results 41 to 50 of about 8,507,762 (305)
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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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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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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Integrable field theories from Poisson algebras [PDF]
, 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., Theisen, S., Hoppe, J.
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Entanglement and confinement in coupled quantum systems
Journal of High Energy Physics, 2021 We study some general properties of coupled quantum systems. We consider simple interactions between two copies of identical Hamiltonians such as the SYK model, Pauli spin chains with random magnetic field and harmonic oscillators.
Fabien Alet +3 more
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5d 2-Chern-Simons theory and 3d integrable field theories [PDF]
The 4-dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki provides a gauge-theoretic origin for the Lax connection of 2-dimensional integrable field theories. The purpose of this paper is to extend this framework to the setting of 3-
Vicedo, Benoit +2 more
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Journal of High Energy Physics, 2022 We consider a one-parameter family of composite fields — bi-linear in the components of the stress-energy tensor — which generalise the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ operator to arbitrary space-time dimension d ≥ 2. We show that they induce
Riccardo Conti +2 more
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BOUNDARY INTEGRABLE QUANTUM FIELD THEORIES [PDF]
Non-Perturbative QFT Methods and Their Applications, 2001 A brief survey of recent results in the study of boundary integrable quantum field theories, indicating some currently open problems. Based on lectures given at the 2000 Eotvos Summer School in Physics on `Nonperturbative QFT methods and their applications'.
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Affine toda field theories on a half-line [PDF]
, 1999 This thesis is primarily concerned with the reflection factors of affine Toda field theories on the half-line x ≤ 0. First, we consider the classical background configurations of low rank a,(^(1)) affine Toda theories with a boundary, constructed by the ...
Perkins, Michael Gordon, Perkins, M.G.
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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