Constructing Infinite Particle Spectra

Details Constructing Infinite Particle Spectra Constructing Infinite Particle Spectra

2001-03-29

arxiv.org/abs/hep-th/0103252v2

Phys.Rev. D64 (2001) 085005

Physics

High Energy Physics

High Energy Physics - Theory

7 pages Latex, 7 figures (typo in figure 3 corrected)

Scientific paper

10.1103/PhysRevD.64.085005

We propose a general construction principle which allows 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.

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