Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-10
JHEP 0801:002,2008
Physics
High Energy Physics
High Energy Physics - Theory
V3: 39 pages, 16 figures, minor corrections, version to appear in JHEP. V2: references added, typos corrected
Scientific paper
10.1088/1126-6708/2008/01/002
In the context of holographic QCD we analyze Sakai-Sugimoto's chiral model at finite baryon density and zero temperature. The baryon number density is introduced through compact D4 wrapping S^4 at the tip of D8-\bar{D8}. Each baryon acts as a chiral point-like source distributed uniformly over R^3, and leads a non-vanishing U(1)_V potential on the brane. For fixed baryon charge density n_B we analyze the bulk energy density and pressure using the canonical formalism. The baryonic matter with point like sources is always in the spontaneously broken phase of chiral symmetry, whatever the density. The point-like nature of the sources and large N_c cause the matter to be repulsive as all baryon interactions are omega mediated. Through the induced DBI action on D8-\bar{D8}, we study the effects of the fixed baryon charge density n_B on the pion and vector meson masses and couplings. Issues related to vector dominance in matter in the context of holographic QCD are also discussed.
Kim Keun-Young
Sin Sang-jin
Zahed Ismail
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