On the universal representation of the scattering matrix of affine Toda field theory

DOI10.1016/S0550-3213(99)00578-7zbMath0951.81006arXivhep-th/9907125OpenAlexW1970813425WikidataQ127982515 ScholiaQ127982515MaRDI QIDQ1572476

B. J. Schulz, Andreas Fring, Christian Korff

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9907125

zbMATH Keywords

existence of bound states\(q\)-deformed Coxeter elementsfusing rulesgeneralized S-matrix equationstwisted \(q\)-deformed Coxeter elementsundeformed Coxeter elements

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Groups and algebras in quantum theory and relations with integrable systems (81R12) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (17)

On vacuum energies and renormalizability in integrable quantum field theories ⋮ Affine Toda field theories related to Coxeter groups of noncrystallographic type ⋮ Form factors and correlation functions of \(\mathrm{T}\overline{\mathrm{T}}\)-deformed integrable quantum field theories ⋮ On the representation of minimal form factors in integrable quantum field theory ⋮ Dorey's rule and the \(q\)-characters of simply-laced quantum affine algebras ⋮ Universal boundary reflection amplitudes ⋮ Non relativistic limit of integrable QFT and Lieb–Liniger models ⋮ Colours associated to nonsimply-laced Lie algebras and exact \(S\)-matrices ⋮ Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models ⋮ Vertex operators, semiclassical limit for soliton \(S\)-matrices and the number of bound states in affine Toda field theories. ⋮ Large and small density approximations to the thermodynamic Bethe ansatz. ⋮ Massive symmetric space sine-Gordon soliton theories and perturbed conformal field theory ⋮ Lorentzian Toda field theories ⋮ Integrable aspects of the scaling \(q\)-state Potts models. I: Bound states and bootstrap closure ⋮ Universal amplitude ratios and Coxeter geometry in the dilute \(A_L\) model ⋮ Y-systems for generalised Gibbs ensembles in integrable quantum field theory ⋮ Non relativistic limit of integrable QFT with fermionic excitations

Cites Work

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• \(q\)-deformed Coxeter element in non-simply laced affine Toda field theories
• The ultraviolet behaviour of integrable quantum field theories, affine Toda field theory
• Root systems and purely elastic \(S\)-matrices. II
• Regular elements of finite reflection groups
• Solitons and vertex operators in twisted affine Toda field theories
• Yangians, integrable quantum systems and Dorey's rule
• On a generalised bootstrap principle.
• The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras

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