On the infrared behaviour of the (singlet) Higgs propagator

dc.creatorConsoli, M.
dc.date2000-03-30
dc.date.accessioned2026-07-07T03:41:03Z
dc.date.available2026-07-07T03:41:03Z
dc.descriptionWe present a simple semi-perturbative argument in favour of a peculiar infrared behaviour of the (singlet) Higgs propagator. On the basis of `triviality' one expects a continuum limit with a two-point function $Γ_2(q) \to (q^2 + M^2_h)$. However, this is not valid in the limit $q \to 0$ where one actually finds a singular behaviour. This is in agreement with both non-perturbative analyses of the effective potential and with lattice computations of the propagator and of the zero-momentum susceptibility in the broken phase. The singular behaviour persists in an O(N) continuous-symmetry theory, the case first pointed out by Symanzik, and supports the existence of an extremely weak $1/r$ potential that does not disappear when coupling the scalar fields to gauge bosons.
dc.description10 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-ph/0003293
dc.identifierhttp://arxiv.org/abs/hep-ph/0003293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39494
dc.subjectHigh Energy Physics - Phenomenology
dc.titleOn the infrared behaviour of the (singlet) Higgs propagator
dc.typetext

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