Effective potentials and kink spectra in non-integrable perturbed conformal field theories

Abstract

We analyze the evolution of the effective potential and the particle spectrum of two-parameter families of non-integrable quantum field theories. These theories are defined by deformations of conformal minimal models M_m by using the operators Phi_{1,3}, Phi_{1,2} and Phi_{2,1}. This study extends to all minimal models the analysis previously done for the classes of universality of the Ising, the Tricritical Ising and the RSOS models. We establish the symmetry and the duality properties of the various models also identifying the limiting theories that emerge when m goes to infinity.

30 pages, pdflatex,17 figures,

References in corpus (12)

• Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
• Non-integrable aspects of the multi-frequency Sine-Gordon model
• Expectation values of local fields in Bullough-Dodd model and integrable perturbed conformal field theories
• Decay of particles above threshold in the Ising field theory with magnetic field
• Massless Flows II: the exact S-matrix approach
• Large-n excitations in the ferromagnetic Ising field theory in a small magnetic field: mass spectrum and decay widths
• Restricted Quantum Affine Symmetry of Perturbed Minimal Models
• Kinks in Finite Volume
• Finite size effects and the supersymmetric sine-Gordon models
• The particle spectrum of the Tricritical Ising Model with spin reversal symmetric perturbations
• Correlators in integrable quantum field theory. The scaling RSOS models
• RSOS revisited

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• Particle spectrum of the 3-state Potts field theory: a numerical study
• Variations on vacuum decay: the scaling Ising and tricritical Ising field theories
• Two-kink bound states in the magnetically perturbed Potts field theory at T<Tc
• Baryon masses in the three-state Potts field theory in a weak magnetic field
• Radiative corrections to the quark masses in the ferromagnetic Ising and Potts field theories
• Spinon confinement in the gapped antiferromagnetic XXZ spin-1/2 chain
• Bound States of Majorana Fermions in Semi-classical Approximation
• Krylov Complexity Meets Confinement
• Confinement in the tricritical Ising model