Baryon-charge Chemical Potential in AdS/CFT

Details Baryon-charge Chemical Potential in AdS/CFT Baryon-charge Chemical Potential in AdS/CFT

2007-08-21

arxiv.org/abs/0708.2818v1

Prog.Theor.Phys.120:51-76,2008

Physics

High Energy Physics

High Energy Physics - Theory

Revtex4, 36 pages with 23 figures

Scientific paper

10.1143/PTP.120.51

We present a closed framework of AdS/CFT with finite U(1)B-charge chemical potential. We show how the gauge-invariant identification of the chemical potential with the bulk gauge field emerges from the standard AdS/CFT dictionary. Physical importance and necessity of the Minkowski embeddings within the present framework is also shown numerically in the D3-D7 systems. We point out that the D3-D7 model with only the black-hole embeddings does not have the low-temperature and low-chemical-potential region in the grand-canonical ensemble, hence it is incomplete. A physical interpretation that explains these numerical results is also proposed.

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