Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-18
JHEP 0710:078,2007
Physics
High Energy Physics
High Energy Physics - Theory
17 pages 3x2 figures, v2: references added;v3 published version, title change and reference added
Scientific paper
10.1088/1126-6708/2007/10/078
We consider the gravity back reaction on the metric due to the baryon density in effective ads/qcd model by reconsidering the role of the charged AdS black hole. Previously it has been known that the U(1) charge is dual to the R-charge. Here we point out that if we consider the case where $AdS_5$ is completely filled with $N_f$ flavor branes, the gravity back reaction produces charged AdS black hole where the effect of charge on the metric is proportional to $N_f/N_c$. As a consequence, phase diagram changes qualitatively if we allow $N_f/N_c$ finite: it closes at the finite density unlike the probe brane embedding approach. Another issue we discuss here is the question whether there is any chemical potential dependence in the confining phase. We consider this problem in the hard wall model with baryon charge. We conclude that there is a non-trivial dependence on the chemical potential in this case also.
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