A gap-less mode of the singlet Higgs field

TL;DR

This paper discusses the theoretical basis for a gap-less collective mode in the singlet Higgs field, supported by recent lattice results, and explains its emergence in spontaneous symmetry breaking within $bb\u03bb\u2212\u03a6^4$ theories.

Contribution

It provides a theoretical explanation for the gap-less mode observed in lattice simulations of the singlet Higgs field during spontaneous symmetry breaking.

Findings

Identification of a gap-less mode in the singlet Higgs field

Explanation of long-wavelength collective excitations

Connection to spontaneous symmetry breaking phenomena

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 $\tilde{E}({\bf{p}}) \to 0$ energy in the ${\bf{p}} \to 0$ limit.