Bethe ansatz matrix elements as non-relativistic limits of form factors of quantum field theory

DOI10.1088/1742-5468/2010/05/P05014zbMath1456.81241arXiv1002.3387OpenAlexW2163683213MaRDI QIDQ3301160

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Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3387

Mathematics Subject Classification ID

Model quantum field theories (81T10) Groups and algebras in quantum theory and relations with integrable systems (81R12) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (11)

Symmetry resolved entanglement in integrable field theories via form factor bootstrap ⋮ Quantum quenches in the sinh-Gordon and Lieb–Liniger models ⋮ Extending the thermodynamic form factor bootstrap program: multiple particle-hole excitations, crossing symmetry, and reparameterization invariance ⋮ Integrability, non-integrability and confinement ⋮ Mean values of local operators in highly excited Bethe states ⋮ Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain ⋮ Interaction quench in a Lieb–Liniger model and the KPZ equation with flat initial conditions ⋮ From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics ⋮ One-particle density matrix of a trapped Lieb–Liniger anyonic gas ⋮ The two particle–hole pairs contribution to the dynamic correlation functions of quantum integrable models ⋮ Determinant formula for the field form factor in the anyonic Lieb–Liniger model

Cites Work

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• Form factors in finite volume. I: Form factor bootstrap and truncated conformal space
• Form factors in finite volume. II: Disconnected terms and finite temperature correlators
• On the space of quantum fields in massive two-dimensional theories
• Determinant representation for dynamical correlation functions of the quantum nonlinear Schrödinger equation
• The quantum inverse scattering method approach to correlation functions.
• ANNIHILATION POLES FOR FORM FACTORS IN THE XXZ MODEL
• Sine-Gordon breather form factors and quantum field equations
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

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