全息照相中的香味与红色不稳定性
Flavours and Infra-red Instability in Holography
摘要：
在$(4+1)$ -体维的唯象全息模型中，利用具有负宇宙学常数的爱因斯坦引力，耦合到Dirac-Born-Infeld项和Chern-Simons项，我们研究了探测标量场和相应几何的涨落模的BF束缚破坏的命运.我们假设这个简单的模型来捕捉一个强耦合SU $(N_c)$规范理论与$N_f$基本物质的动力学，这在极限${\cal O} \left( N_c \right) \sim {\cal O}\left(N_f\right)$和非零的物质密度，是全息描述的AdS $_2$ -在IR几何。我们证明，超导体/超流体不稳定性的促进和自发打破的平移不变性被抑制随着$\left(N_f / N_c \right) $的值增加。这在精神上与已知的具有$N_f$夸克和非零密度的大$N_c$量子色动力学的结果类似，其中手征密度波相位被抑制，并且随着夸克数量的增加，超导不稳定性变得有利。
英文摘要：
Within a phenomenological holographic model in $(4+1)$-bulk dimensions, defined by Einstein-gravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld and a Chern-Simons term, we explore the fate of BF-bound violation for a probe scalar field and a fluctuation mode of the corresponding geometry. We assume this simple model to capture the dynamics of a strongly coupled SU$(N_c)$ gauge theory with $N_f$ fundamental matter, which in the limit ${\cal O} \left( N_c \right) \sim {\cal O}\left(N_f\right)$ and with a non-vanishing matter density, is holographically described by an AdS$_2$-geometry in the IR. We demonstrate that, superconductor/superfluid instabilities are facilitated and spontaneous breaking of translational invariance is inhibited with increasing values of $\left(N_f / N_c \right) $. This is similar, in spirit, with known results in large $N_c$ Quantum Chromodynamics with $N_f$ quarks and a non-vanishing density, in which the chiral density wave phase becomes suppressed and superconducting instabilities become favoured as the number of quarks is increased.
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