Hidden local symmetry and beyond

Abstract

Gerry Brown was a godfather of our hidden local symmetry (HLS) for the vector meson from the birth of the theory throughout his life. The HLS is originated from very nature of the nonlinear realization of the symmetry [Formula: see text] based on the manifold [Formula: see text], and thus is universal to any physics based on the nonlinear realization. Here, I focus on the Higgs Lagrangian of the Standard Model (SM), which is shown to be equivalent to the nonlinear sigma model based on [Formula: see text] with additional symmetry, the nonlinearly-realized scale symmetry. Then, the SM does have a dynamical gauge boson of the SU[Formula: see text] HLS, “SM [Formula: see text] meson”, in addition to the Higgs as a pseudo-dilaton as well as the NG bosons to be absorbed in to the [Formula: see text] and [Formula: see text]. Based on the recent work done with Matsuzaki and Ohki, I discuss a novel possibility that the SM [Formula: see text] meson acquires kinetic term by the SM dynamics itself, which then stabilizes the skyrmion dormant in the SM as a viable candidate for the dark matter, what we call “dark SM skyrmion (DSMS)”.