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2007

Baryon-charge Chemical Potential in AdS/CFT

Nakamura, Shin, Seo, Yunseok, Sin, Sang-Jin et al.

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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.

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K. Y. Kim, S. J. Sin and I. Zahed, arXiv:hep-th/0608046

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S. Nakamura, Y. Seo, S. J. Sin and K. P. Yogendran, “A new phase at finite quark density from AdS/CFT,” arXiv:hep-th/0611021

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S. K. Domokos and J. A. Harvey, arXiv:0704.1604[hep-ph]; A. Karch and A. O’Bannon, arXiv:0705.3870[hep-th]; D. Yamada, arXiv:0707.0101[hep-th]; Y. Kim, B-H. Lee, S. Nam, C. Park and S-J Sin, arXiv:0706.2525[hep-ph]; S-J Sin, arXiv:0707.2719[hep-th]

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D. Mateos, R. C. Myers and R. Thomson, arXiv:hep-th/0701132

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