Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-09
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, 10 figures; v2, minor change
Scientific paper
We argue that the electron star and the AdS Dirac hair solution are two limits of the free charged Fermi gas in AdS. Spectral functions of holographic duals to probe fermions in the background of electron stars have a free parameter that quantifies the number of constituent fermions that make up the charge and energy density characterizing the electron star solution. The strict electron star limit takes this number to be infinite. The Dirac hair solution is the limit where this number is unity. This is evident in the behavior of the distribution of holographically dual Fermi surfaces. As we decrease the number of constituents in a fixed electron star background the number of Fermi surfaces also decreases. An improved holographic Fermi groundstate should be a configuration that shares the qualitative properties of both limits.
Cubrovic Mihailo
Liu Yan
Schalm Koenraad
Sun Ya-Wen
Zaanen Jan
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