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Massive poles in Lee-Wick quantum field theory

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arxiv 1812.03603 v2 pith:QA6KB4TA submitted 2018-12-10 hep-th gr-qchep-ph

John F. Donoghue , Gabriel Menezes This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords poleslee-wickmassiveonlyrepresentationanothercaculationallycompensating
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Most discussions of propagators in Lee-Wick theories focus on the presence of two massive complex conjugate poles in the propagator. We show that there is in fact only one pole near the physical region, or in another representation three pole-like structures with compensating extra poles. The latter modified Lehmann representation is useful caculationally and conceptually only if one includes the resonance structure in the spectral integral.

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    hep-th 2025-01 conditional novelty 5.0 of 10

    For a ghost field above the multiparticle threshold, the dressed propagator carries a complex conjugate pole pair in the first Riemann sheet, and the paper derives spectral representations for both sheets while flaggi...

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