INTEGRALS OF MOTION AND S-MATRIX OF THE (SCALED) T = Tc ISING MODEL WITH MAGNETIC FIELD

1989/10/10 by A. B. Zamolodchikov · 18 citations
Physics and Astronomy · Mathematics · #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #Black Holes and Theoretical Physics #Physics #Ising model #Scaling #Mathematical physics #Limit (mathematics) #Scaling limit #Matrix (chemical analysis) #Magnetic field #Field (mathematics) #Spectrum (functional analysis) #Motion (physics) #Quantum mechanics #Classical mechanics #Mathematical analysis #Pure mathematics #Geometry #Mathematics

paper · doi:10.1142/s0217751x8900176x

openalex publication_date 1989/10/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/02

Abstract

It is shown that the field theory describing the scaling limit of T = T c Ising model with nonzero magnetic field possesses a number of nontrivial local integrals of motion. The exact mass spectrum and S-matrix of this field theory is conjectured.

Cited by

• The Bethe ansatz and the Tzitzéica–Bullough–Dodd equation
• Thermodynamics and form factors of supersymmetric integrable field theories
• 𝐸₈, the most exceptional group
• Affine Toda solitons and vertex operators
• E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2V2O8 under Transverse Field
• QUATERNIONIC CONSTRUCTION OF THE W(F4) POLYTOPES WITH THEIR DUAL POLYTOPES AND BRANCHING UNDER THE SUBGROUPS W(B4) AND W(B3) × W(A1)
• Energy Spectrum of Bound-Spinons in the Quantum Ising Spin-Chain Ferromagnet
• The importance of being integrable: Out of the paper, into the lab
• Optimal free descriptions of many-body theories
• Applications of Reflection Amplitudes in Toda-Type Theories
• The Importance of the Ising Model
• HIDDEN SYMMETRIES IN QUANTUM FIELD THEORIES FROM EXTENDED COMPLEX NUMBERS
• Reflection amplitudes in non-simply laced Toda theories and thermodynamic Bethe ansatz
• Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry
• Renormalization group flows and continual Lie algebras
• Quantifying the Efficiency of State Preparation via Quantum Variational Eigensolvers
• Interplay of quantum criticality and geometric frustration in columbite
• E8 (mathematics) [wikipedia]