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 G based on the manifold G/H, 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 G/H= SU(2)_L x SU(2)_R/SU(2)_V with additional symmetry, the nonlinearly realized scale symmetry. Then the SM does have a dynamical gauge boson of the SU(2)_V HLS, "SM rho meson", in addition to the Higgs as a pseudo dilaton as well as the NG bosons to be absorbed into the W and Z. Based on the recent work done with S. Matsuzaki and H. Ohki, I discuss a novel possibility that the SM rho 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)".

To appear in the Gerry Brown Memorial Book

References in corpus (20)

• Planck 2013 results. XVI. Cosmological parameters
• Results from a search for dark matter in the complete LUX exposure
• Low energy hadron physics in holographic QCD
• Implication of neutrino backgrounds on the reach of next generation dark matter direct detection experiments
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• Vector Manifestation of the Chiral Symmetry
• Vector Mesons and an Interpretation of Seiberg Duality
• Discovering 125 GeV techni-dilaton at LHC
• Hidden Local Symmetry at One Loop
• Conformal Phase Transition and Fate of the Hidden Local Symmetry in Large N_f QCD
• Walking on the Ladder: 125 GeV Technidilaton, or Conformal Higgs -Dedicated to the late Professor Yoichiro Nambu-
• Hidden local symmetry and color confinement
• Planning the Future of U.S. Particle Physics (Snowmass 2013): Chapter 4: Cosmic Frontier
• Conformal Barrier and Hidden Local Symmetry Constraints: Walking Technirhos in LHC Diboson Channels
• Electroweak-Skyrmion as Topological Dark Matter
• Discovering walking technirho mesons at the LHC
• Top Quark Condensate Revisited
• Dark Side of the Standard Model: Dormant New Physics Awaken
• The Role of Vector Mesons for Emergent Scale-Chiral Symmetry in Nuclear Interactions

Cited by in corpus (11)

• Light flavor-singlet scalars and walking signals in $N_f=8$ QCD on the lattice
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Towards the Hadron-Quark Continuity Via a Topology Change in Compact Stars
• Chiral-scale effective theory including a dilatonic meson
• A pseudo-conformal structure in dense baryonic matter
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• The Non-Quenching of $g_A$ in Nuclei and Emergent Scale Symmetry in Dense Baryonic Matter
• Nuclear Axial Currents from Scale-Chiral Effective Field Theory
• Going from Asymmetric Nuclei to Neutron Stars to Tidal Polarizability in Gravitational Waves
• Scale-Chiral Effective Field Theory for Nuclear Interactions in the Veneziano Limit
• Probing the Source of Proton Mass by"Unbreaking" Scale-Chiral Symmetry