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Affine Toda field theories related to Coxeter groups of noncrystallographic type

Fring, A. and Korff, C. (2005). Affine Toda field theories related to Coxeter groups of noncrystallographic type. Nuclear Physics B, 729(3), pp. 361-386. doi: 10.1016/j.nuclphysb.2005.08.044

Abstract

We propose affine Toda field theories related to the non-crystallographic Coxeter groups H_2, H_3 and H_4. The classical mass spectrum, the classical three-point couplings and the one-loop corrections to the mass renormalisation are determined. The construction is carried out by means of a reduction procedure from crystallographic to non-crystallographic Coxeter groups. The embedding structure explains for various affine Toda field theories that their particles can be organised in pairs, such that their relative masses differ by the golden ratio.

Publication Type: Article
Publisher Keywords: EXACT S-MATRICES, INTEGRABLE SYSTEMS, SCATTERING MATRIX, LIE-SUPERALGEBRAS, QUASI-CRYSTALS, MASS-SPECTRUM, ROOT SYSTEMS, QUANTUM, MODEL, ALGEBRAS
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/700
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