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Hidden Local Symmetry and Dense Half-Skyrmion Matter

2007/11/25 by Mannque Rho, Rho, Mannque
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.48550/arxiv.0711.3895

6 pages, 1 figure, 1 reference corrected

arxiv created 2007/11/28 · arxiv updated 2009/12/01

Abstract

Transition from baryonic matter to color-flavor-locked quark matter is described in terms of skyrmion matter changing into half-skyrmion matter. The intermediate phase between the density np at which a skyrmion turns into two half skyrmions and the chiral transition density ncχSR at which hadronic matter changes over to quark matter corresponds to a chiral symmetry restored phase characterized by a vanishing quark condensate and a \em non-vanishing pion decay constant. When hidden local fields are incorporated, the vector manifestation of Harada-Yamawaki HLS theory implies that as density approaches ncχSR, the gauge coupling g goes to zero (in the chiral limit) and the symmetry "swells" to SU(Nf)4 as proposed by Georgi for the "vector limit." This enhanced symmetry, not present in QCD, can be interpreted as "emergent" in medium due to collective excitations. The fractionization of skyrmions into half-skyrmions resembles closely the magnetic Néel--to-valence bond solid (VBS) paramagnet transition where "baby" half-skyrmions enter as relevant degrees of freedom in the intermediate phase. It is suggested that the half-skyrmion phase in dense matter corresponds to the "hadronic freedom" regime that plays a singularly important role in inducing kaon condensation that leads to the collapse of massive compact stars into black holes..

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