Massless Flows II: the exact S-matrix approach

Details Massless Flows II: the exact S-matrix approach Massless Flows II: the exact S-matrix approach

1993-04-13

arxiv.org/abs/hep-th/9304051v1

Int.J.Mod.Phys. A8 (1993) 5751-5778

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, BUHEP-93-6, USC-93-004, LPM-93-08

Scientific paper

We study the spectrum, the massless S-matrices and the ground-state energy of the flows between successive minimal models of conformal field theory, and within the sine-Gordon model with imaginary coefficient of the cosine term (related to the minimal models by ``truncation''). For the minimal models, we find exact S-matrices which describe the scattering of massless kinks, and show using the thermodynamic Bethe ansatz that the resulting non-perturbative c-function (defined by the Casimir energy on a cylinder) flows appropriately between the two theories, as conjectured earlier. For the non-unitary sine-Gordon model, we find unusual behavior. For the range of couplings we can study analytically, the natural S-matrix deduced from the minimal one by ``undoing'' the quantum-group truncation does not reproduce the proper c-function with the TBA. It does, however, describe the correct properties of the model in a magnetic field.

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