Colour valued scattering matrices

Fring, A., and Korff, C. (2000) Colour valued scattering matrices. Physics Letters B, 477, pp. 380-386. (doi:10.1016/S0370-2693(00)00226-4)

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We describe a general construction principle which allows to add colour values to a coupling constant dependent scattering matrix. As a concrete realization of this mechanism we provide a new type of S-matrix which generalizes the one of affine Toda field theory, being related to a pair of Lie algebras. A characteristic feature of this S-matrix is that in general it violates parity invariance. For particular choices of the two Lie algebras involved this scattering matrix coincides with the one related to the scaling models described by the minimal affine Toda S-matrices and for other choices with the one of the Homogeneous sine-Gordon models with vanishing resonance parameters. We carry out the thermodynamic Bethe ansatz and identify the corresponding ultraviolet effective central charges.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Korff, Dr Christian
Authors: Fring, A., and Korff, C.
Subjects:Q Science > QA Mathematics
Q Science > QC Physics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Research Group:Integrable Systems and Mathematical Physics
Journal Name:Physics Letters B
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