RG flows and resonance scattering amplitudes
M. J. Martins
Abstract
We review recent progresses in the study of factorized resonance scattering S-matrices. The resonance amplitudes are introduced through a suitable analytical continuation of the ADE Toda S-matrices. By using the thermodynamic Bethe ansatz approach we are able to compute the ground state energy, which describes a rich pattern of flows interpolating between the central charges of the coset models based on the ADE Lie algebras. We also present the simplest resonance ``ϕ3'' scattering model and discuss its relation with new flows in non-unitary minimal models. Further generalizations are discussed in terms of certain asymptotic conditions in a family of ``resonance'' functional hierarchies.
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