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D3/D7 holographic Gauge theory and Chemical potential  Kazuo Ghoroku
; Masafumi Ishihara
; Akihiro Nakamura
;  Date: 
3 Sep 2007  Abstract:  YangMills theory with flavor quarks at finite temperature and in the
dS${}_4$ are studied for finite quark number density ($n_b$) by a dual
supergravity background with nontrivial dilaton and axion. The quarks and its
number density $n_b$ are introduced by embedding a probe D7 brane. We find a
critical value of the chemical potential at the limit of $n_b=0$, and it
coincides with the effective quark mass given in each theory for $n_b=0$. At
this point, a transition of the D7 embedding configurations occurs between
their two typical ones. The phase diagrams of this transition are shown in the
plane of chemical potential versus temperature and cosmological constant for YM
theory at finite temperature and in dS${}_4$ respectively. In this phase
transition, the order parameter is considered as $n_b$. This result seems to be
reasonable since both theories are in the quark deconfinement phase.  Source:  arXiv, 0708.3706  Services:  Forum  Review  PDF  Favorites 


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