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arXiv 0711.1601hep-thhep-ph
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关于AdS/CFT化学势的几点讨论

Comments on Chemical Potentials in AdS/CFT

Shin Nakamura

摘要:

提出了一种确定守恒电荷全息化学势的方法。指导原则是与热力学关系式和勒让德变换的一致性识别。以重子荷化学势为例,解释了当勒让德变换定义良好时,体U(1)规范场常数位移的自由度不存在的原因.这里提出的方法表明,化学势的定义可能会更复杂的情况下相比,本地化的电荷,如果我们有一个非平凡的电荷分布沿径向的散装几何。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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