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Constructing infinite particle spectra

Castro-Alvaredo, O. & Fring, A. (2001). Constructing infinite particle spectra. Physical Review D (PRD), 64(8), 7-. doi: 10.1103/physrevd.64.085005


We propose a general construction principle which allows us to include an infinite number of resonance states into a scattering matrix of hyperbolic type. As a concrete realization of this mechanism we provide new S matrices generalizing a class of hyperbolic ones, which are related to a pair of simple Lie algebras, to the elliptic case. For specific choices of the algebras we propose elliptic generalizations of affine Toda field theories and the homogeneous sine-Gordon models. For the generalization of the sinh-Gordon model we compute explicitly renormalization group scaling functions by means of the c theorem and the thermodynamic Bethe ansatz. In particular we identify the Virasoro central charges of the corresponding ultraviolet conformal field theories.

Publication Type: Article
Additional Information: © 2001 The American Physical Society
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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