Bosonic-type S-Matrix, Vacuum Instability and CDD Ambiguities

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.

version to appear in Nucl. Phys. B

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• The S-matrix Bootstrap II: Two Dimensional Amplitudes
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• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
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• On the Finite Temperature Formalism in Integrable Quantum Field Theories
• S-matrix bootstrap for resonances
• A Simple Worldsheet Black Hole
• Weak integrability breaking and level spacing distribution
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• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• One-point functions in integrable quantum field theory at finite temperature
• Crosscap States in Integrable Field Theories and Spin Chains
• $T\bar{T}$-flow effects on torus partition functions
• Note on the nonrelativistic $T\bar{T}$ deformation
• $T\bar{T}$ deformation of the Ising model and its ultraviolet completion
• Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and sigma models
• Boundary Quantum Field Theories with Infinite Resonance States
• Thermodynamics of $T\bar{T}$ perturbations of some single particle field theories
• Yang-Lee Zeros of the Yang-Lee Model
• The complex sinh-Gordon model: form factors of descendant operators and current-current perturbations
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• Scattering matrix for current-current deformations of the (2,2s+1) RSOS models
• Complete Minimal Form Factors for Irrelevant Deformations of Integrable Quantum Field Theory