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Comments on Chemical Potentials in AdS/CFT · Around

2007

Comments on Chemical Potentials in AdS/CFT

Nakamura, Shin

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We propose a method for identifying holographic chemical potentials of conserved charges.

The guiding principle is the consistency of the identification with the thermodynamic relations and the Legendre transformation.
We consider the baryon-charge chemical potential as an example, and explain why the degree of freedom of the constant shift of the bulk U(1) gauge field is absent when the Legendre transformation is well-defined.
The method proposed here suggests that the definition of the chemical potential may be more complicated compared with the case of localized charge if we have a nontrivial charge distribution along the radial direction of the bulk geometry.

Built on

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1992
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H. R. Braden, J. D. Brown, B. F. Whiting and J. W. York, Jr, \PRD
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M. P. Lombardo, \JL
2006
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N. Horigome and Y. Tanii, \JHEP
2007
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A. Parnachev and D. A. Sahakyan, \NPB
2007
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S. Kobayashi, D. Mateos, S. Matsuura, R. C. Myers and R. M. Thomson, \JHEP
2007
Earlier work this paper cites.

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Then

S. Matsuura, \JHEP
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S. K. Domokos and J. A. Harvey, \PRL
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