2000/03/30 by M. Consoli, Consoli, M.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0003293
10 pages, LaTeX
arxiv created 2000/03/30 · arxiv updated 2009/11/30
We 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 Γ2(q) → (q2 + M2h). However, this is not valid in the limit q → 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.