Massless flows, 2. The Exact S matrix approach
Apr, 199331 pages
Published in:
- Int.J.Mod.Phys.A 8 (1993) 5751-5778
e-Print:
- hep-th/9304051 [hep-th]
Report number:
- BUHEP-93-9,
- USC-93-004,
- LPM-93-08
Citations per year
Abstract:
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.Note:
- 34 pages, BUHEP-93-6, USC-93-004, LPM-93-08
- field theory: conformal
- dimension: 2
- S-matrix: factorization
- Yang-Baxter equation
- energy: ground state
- particle: spectrum
- spectrum: particle
- renormalization group: c-function
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