Mass Generation in Perturbed Massless Integrable Models

Abstract

We extend form-factor perturbation theory to non--integrable deformations of massless integrable models, in order to address the problem of mass generation in such systems. With respect to the standard renormalisation group analysis this approach is more suitable for studying the particle content of the perturbed theory. Analogously to the massive case, interesting information can be obtained already at first order, such as the identification of the operators which create a mass gap and those which induce the confinement of the massless particles in the perturbed theory.

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• The particle spectrum of the Tricritical Ising Model with spin reversal symmetric perturbations
• A variational method for integrability-breaking Richardson-Gaudin models
• Integrability, Non-integrability and confinement
• Out-of-equilibrium transport in the interacting resonant level model: the surprising relevance of the boundary sine-Gordon model
• Bound States of Majorana Fermions in Semi-classical Approximation
• Scaling of excitations in dimerized and frustrated spin-1/2 chains
• The Lattice $\beta$-function of Quantum Spin Chains