Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-09
JHEP0801:053,2008
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, LaTeX, 1 figure, v2: some formulae corrected, qualitative results unchanged
Scientific paper
10.1088/1126-6708/2008/01/053
We study the Sakai-Sugimoto model of holographic QCD at zero temperature and finite chemical potential. We find that as the baryon chemical potential is increased above a critical value, there is a phase transition to a nuclear matter phase characterized by a condensate of instantons on the probe D-branes in the string theory dual. As a result of electrostatic interactions between the instantons, this condensate expands towards the UV when the chemical potential is increased, giving a holographic version of the expansion of the Fermi surface. We argue based on properties of instantons that the nuclear matter phase is necessarily inhomogeneous to arbitrarily high density. This suggests an explanation of the "chiral density wave" instability of the quark Fermi surface in large N_c QCD at asymptotically large chemical potential. We study properties of the nuclear matter phase as a function of chemical potential beyond the transition and argue in particular that the model can be used to make a semi-quantitative prediction of the binding energy per nucleon for nuclear matter in ordinary QCD.
Raamsdonk Mark Van
Rozali Moshe
Shieh Hsien-Hang
Wu Jackson
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