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Resummation of Goldstone Infrared Divergences: A Proof to All Orders

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arxiv 1712.08068 v1 pith:EW2CMDAR submitted 2017-12-21 hep-ph hep-th

Jose R. Espinosa , Thomas Konstandin This is my paper · ORCID
classification hep-phhep-th
keywords goldstonedivergenceseffectiveinfraredloopsmassresummationshift
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The perturbative effective potential calculated in Landau gauge suffers from infrared problems due to Goldstone boson loops. These divergences are spurious and can be removed by a resummation procedure that amounts to a shift of the mass of soft Goldstones. We prove this to all loops using an effective theory approach, providing a compact recipe for the shift of the Goldstone mass that relies on the use of the method of regions to split soft and hard Goldstone contributions.

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  1. Bare effective potential and Goldstone boson anti-resummation

    hep-ph 2026-08 conditional novelty 7.0 of 10

    Treating Goldstone-boson squared masses as interaction vertices instead of propagator masses eliminates spurious infrared logarithms and imaginary parts, giving a consistent three-loop tadpole-free effective potential...

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