Chiral doubling of heavy-light hadrons and the vector manifestation of hidden local symmetry

Abstract

Starting with a hidden local symmetry Lagrangian at the vector manifestation (VM) fixed point that incorporates heavy-quark symmetry and matching the bare theory to QCD, we calculate the splitting of chiral doublers of heavy-light mesons proposed by Nowak, Rho and Zahed [1] and Bardeen and Hill [2]. We show, in the three-flavor chiral limit, that the splitting is directly proportional to the light-quark condensate qq and comes out to be ∼ 1 3 m N where m N is the nucleon mass, implying that the splitting vanishes in the chiral limit at the chiral restoration point -temperature T c , density n c or number of flavors N c F . The result turns out to be surprisingly simple with the vector (ρ) meson playing the crucial role in quantum corrections, pointing to the relevance of the VM to QCD in the way chiral symmetry is manifested in hadronic matter. We also make predictions on the hadronic decay processes of the excited heavy (charm) -light mesonsD.

Kaon-soliton bound state approach to the pentaquark states

“…The significant new element in our theory is that theVM to which HLS theory flows as the spontaneously broken chiral symmetry is restored renders feasible a systematic chiral perturbation calculation with the vector mesons treated on the same footing as the pseudo-Goldstone bosons [10]. A striking case in support of this argument is the recent analysis of the chiral doublers in light-heavy-quark hadrons starting from the VM fixed point and taking into account small deviations from the VM in low order perturbation theory confirms that the VM is not too far from nature [15].…”

Thermal dilepton production from droppingρbased on the vector manifestation

“…The studies of the VM in hot/dense matter have been carried out in Refs. [7,8,19,29,30] and the VM was applied to construct an effective Lagrangian for the heavy-light mesons which can describe the recent experimental observation on the D(0 + , 1 + ) mesons [31]. We would like to stress that the vector dominance (VD) of the electromagnetic form factor of the pion is strongly violated near the critical point associated with the dropping ρ in the VM [19,32].…”

Flavor Correlations and the QCD Phase Structure

“…In dilute nuclear matter, in-medium modifications of the color-electric and color-magnetic gluons are extracted from the D and B meson dynamics [35]. In increasing density/temperature, those heavylight mesons will change their chiral properties, as expected from the chiral doubling scenario [36][37][38]. The mass gap between the chiral partners is around 350 MeV, and this is much bigger than a mass difference between the charged D mesons in dense matter, ∼ 50 MeV.…”