Integrable scattering theories with unstable particles

Details Integrable scattering theories with unstable particles Integrable scattering theories with unstable particles

2002-11-18

arxiv.org/abs/hep-th/0211168v1

Eur.Phys.J.C35:393-411,2004

Physics

High Energy Physics

High Energy Physics - Theory

30 pages Latex, 7 eps figures

Scientific paper

10.1140/epjc/s2004-01780-x

We formulate a new bootstrap principle which allows for the construction of particle spectra involving unstable as well as stable particles. We comment on the general Lie algebraic structure which underlies theories with unstable particles and propose several new scattering matrices. We find a new Lie algebraic decoupling rule, which predicts the renormalization group flow in dependence of the relative ordering of the resonance parameters. The proposals are exemplified for some concrete theories which involve unstable particles, such as the homogeneous sine-Gordon models and their generalizations. The new decoupling rule can be validated by means of our new bootstrap principle and also via the renormalization group flow, which we obtain from a thermodynamic Bethe ansatz analysis.

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