Representations of the Lorentz group corresponding to unstable particles

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    The irreducible nonunitary representations of the inhomogeneous Lorentz group which satisfy the condition that the complex energy-momentum 4 vectors be transformable into a rest frame by a real Lorentz rotation are found. By explicit construction of wave packets in configuration space it is seen that the vectors of the representation space have a natural interpretation as states of unstable particles. The new representations arise in the study of complex singularities associated with resonance poles in analytically continued scattering amplitudes.

    Original languageEnglish (US)
    Pages (from-to)2818-2819
    Number of pages2
    JournalPhysical Review
    Volume131
    Issue number6
    DOIs
    StatePublished - Dec 1 1963

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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