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arXiv 1210.4516hep-phhep-th
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Veneziano极限下的有限温度全息QCD

On finite-temperature holographic QCD in the Veneziano limit

T. Alho, M. Jarvinen, K. Kajantie, E. Kiritsis, K. Tuominen

摘要:

在有限温度下,分析了T=0普适类QCD中的全息模型,在色数N_c和无质量费米子味数N_f的限制下,x_f=N_f/N_c为常数。这些模型包含一个5维度量和两个标量,一个是来源于TrF ^2的强子,一个是\bar qq的快子。计算了T,x_f平面上的相结构,确定了各种一级、二级跃迁和交叉及其手征对称性。对于每个x_f,计算了p/T^4和夸克-反夸克凝聚的温度依赖性。在最简单的情况下,我们发现当x_f达到临界x_c \sim 4时,存在一个一级跃迁,在该跃迁上手征对称性被破缺,能量密度发生跳跃。在共形窗口x_c<x_f<11/2内,两个共形相位之间只有一个连续的交叉。当从下面接近x_c时,x_f \to x_c,温度标度接近于米兰斯基标度所指定的零。

英文摘要:

Holographic models in the T=0 universality class of QCD in the limit of large number N_c of colors and N_f massless fermion flavors, but constant ratio x_f=N_f/N_c, are analyzed at finite temperature. The models contain a 5-dimensional metric and two scalars, a dilaton sourcing TrF^2 and a tachyon dual to \bar qq. The phase structure on the T,x_f plane is computed and various 1st order, 2nd order transitions and crossovers with their chiral symmetry properties are identified. For each x_f, the temperature dependence of p/T^4 and the quark-antiquark -condensate is computed. In the simplest case, we find that for x_f up to the critical x_c\sim 4 there is a 1st order transition on which chiral symmetry is broken and the energy density jumps. In the conformal window x_c<x_f<11/2, there is only a continuous crossover between two conformal phases. When approaching x_c from below, x_f\to x_c, temperature scales approach zero as specified by Miransky scaling.

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