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)

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Publisher's URL: http://dx.doi.org/10.1016/j.nuclphysb.2005.08.044

Abstract

We propose affine Toda field theories related to the noncrystallographic Coxeter groups H2,H3 and H4. 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 noncrystallographic 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Korff, Dr Christian
Authors: Fring, A., and Korff, C.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Nuclear Physics B
ISSN:0550-3213
ISSN (Online):1873-1562
Published Online:20 September 2005

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