Bosonic-type S -matrix, vacuum instability and CDD ambiguities

1999/03/31 by G. Mussardo, P. Simon · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Ground state #Interpretation (philosophy) #Ising model #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Scattering #Stability (learning theory) #Vacuum state #cond-mat #hep-th

paper · pdf · doi:10.1016/s0550-3213(99)00806-8

published as Nucl.Phys. B578 (2000) 527-551 · version to appear in Nucl. Phys. B

arxiv created 2000/01/19 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider the simplest bosonic-type S-matrix which is usually regarded as unphysical due to the complex values of the finite volume ground state energy. While a standard quantum field theory interpretation of such a scattering theory is precluded, we argue that the physical situation described by this S-matrix is of a massive Ising model perturbed by a particular set of irrelevant operators. The presence of these operators drastically affects the stability of the original vacuum of the massive Ising model and its ultraviolet properties.

Citations

• Off-critical statistical models: Factorized scattering theories and bootstrap program
• NON-EXISTENCE OF LOCAL INTEGRALS OF MOTION IN THE MULTI-DEFORMED ISING MODEL
• Asymptotic factorisation of form factors in two-dimensional quantum field theory
• Pauli principle for one-dimensional bosons and the algebraic bethe ansatz
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models

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