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arXiv 1302.4553hep-ph
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一种光技术--膨胀子的全息模拟

Holographic Modelling of a Light Techni-Dilaton

Nick Evans, Kimmo Tuominen

摘要:

提出了规范理论中手征对称性破缺的简化全息模型。手征凝聚体由AdS中的单个标量场表示,规范动力学通过其质量的径向依赖性输入,表示qbar q算子的反常维度的运行。我们讨论了当异常维度的红外值γ_m被调谐到1时(相当于AdS标量质量平方被调谐到-4的Breitenlohner-Freedman界),手征跃迁超出共形窗口的简单例子。模型的输出是$\bar{q} q$标量介子束缚态的质量。我们在一个明确的例子中表明,如果梯度的运行的异常尺寸下降到零的尺度,BF约束违反发生,使理论变得近共形,然后该理论具有一个technic-technical状态,是参数轻于动态生成的夸克质量。事实上,激发态介子的全谱在接近共形谱时也会变轻(相对于技夸克质量)。

英文摘要:

We present a simplified holographic model of chiral symmetry breaking in gauge theory. The chiral condensate is represented by a single scalar field in AdS, with the gauge dynamics input through radial dependence of its mass, representing the running of the anomalous dimension of the qbar q operator. We discuss simple examples of the chiral transition out of the conformal window when the infrared value of the anomalous dimension, γ_m, is tuned to one (equivalently the AdS-scalar mass squared is tuned to the Breitenlohner-Freedman bound of -4). The output of the model are the masses of the $\bar{q} q$ scalar meson bound states. We show in an explicit example that if the gradient of the running of the anomalous dimension falls to zero at the scale where the BF bound violation occurs, so that the theory becomes near conformal, then the theory possesses a techni-dilaton state that is parametrically lighter than the dynamically generated quark mass. Indeed the full spectrum of excited meson states also become light (relative to the techni-quark mass) as they approach a conformal spectrum.

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