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Resummation of Goldstone Infrared Divergences: A Proof to All Orders

2017/12/21 by Jose R. Espinosa, Thomas Konstandin · 1 citation
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.97.056020

published as Phys. Rev. D 97, 056020 (2018) · 30 pages, 3 figures

arxiv created 2017/12/21 · arxiv updated 2018/04/04

Abstract

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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