"Walking with Hidden Local Symmetry"

Hidden Local Symmetry (HLS) is a generic description of the massive vector particle as a gauge boson of spontaneously broken gauge symmetry. Good examples are the rho meson and its flavor partners in the real-life QCD and the Kaluza-Klein modes of the higher-dimensional gauge theory with deconstructed/latticized extra dimensions. Here we consider the HLS near the conformal window in the large N_f QCD which is governed by the Banks-Zaks infrared fixed point and thus becomes a walking/conformal gauge theory. The chiral phase transition at the edge of the conformal window, called conformal phase transition, is a peculiar one characterized by an essential singularity scaling relation (Miransly scaling) due to the scale invariance of the Schwinger-Dyson equation, which breaks the Ginzburg-Landau effective theory. The corresponding HLS theory may be regarded as a "magnetic" (completely higgsed) gauge theory dual to the "electric" (completely confined) gauge theory, QCD, in the sense that both the HLS and QCD give rise to the chiral symmetry restoration at certain large number of masssless flavors as we approach the conformal window. The rho meson is a massive magnetic gluon whose mass goes to zero as we approach the conformal window in such a way that the chiral symmetry is restored by the degenerate chiral partners of the massless pion and rho meson. This we call the vector manifestation of chiral symmetry. We shall discuss many unusual features of this walking/conformal gauge theory, some of which are useful for technicolor model building as well as the hot/dense hadronic matter.