Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-11-10
Prog.Theor.Phys.119:839-847,2008
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, PTPTeX, V2: refs. added, typos corrected, V3: published version in Prog. Theor. Phys
Scientific paper
10.1143/PTP.119.839
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.
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