A gap-less mode of the singlet Higgs field

Abstract

Recent lattice results suggest the existence of a gap-less mode of the singlet Higgs field. We present a description of spontaneous symmetry breaking in $\lambda {\Phi }^4$ theories showing why one is faced with long-wavelength, collective modes of the scalar condensate with $\tilde{E}(\mathbf{p})\to 0$ energy in the $\mathbf{p}\to 0$ limit.

10 pages