Spontaneous symmetry breaking and the $p \to 0$ limit

Details Spontaneous symmetry breaking and the $p \to 0$ limit Spontaneous symmetry breaking and the $p \to 0$ limit

2002-01-07

arxiv.org/abs/hep-ph/0201034v2

Phys.Rev. D65 (2002) 105017

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, LaTex, small changes and some comments added

Scientific paper

10.1103/PhysRevD.65.105017

We point out a basic ambiguity in the $p \to 0$ limit of the connected propagator in a spontaneously broken phase. This may represent an indication that the conventional singlet Higgs boson, rather than being a purely massive field, might have a gap-less branch. This would dominate the energy spectrum for ${\bf{p}} \to 0$ and give rise to a very weak, long-range force. The natural interpretation is in terms of density fluctuations of the `Higgs condensate': in the region of very long wavelengths, infinitely larger than the Fermi scale, it cannot be treated as a purely classical c-number field.

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