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arXiv 2302.08112hep-phhep-th
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共形边缘的全息光膨胀子

Holographic light dilaton at the conformal edge

Jesús Cruz Rojas, Deog Ki Hong, Sang Hui Im, Matti Järvinen

AI总结:

该研究通过全息模型证明,在接近共形边缘的规范理论中,膨胀子可比其他复合态参数性地更轻,其质量由夸克双线性反常维度与共形性的接近程度控制,并满足低能反常Ward恒等式。

摘要:

我们研究了一个简单的全息模型,用于描述接近共形边缘的规范理论,以证明膨胀子可以参数性地比其他任何复合态更轻。所有复合态的质量,除了像膨胀子这样的Nambu-Goldstone玻色子之外,都受红外尺度或动力学质量的约束。膨胀子质量的参数依赖性由夸克双线性(其自发破缺了标度对称性)的反常维度与共形性的接近程度来控制。我们还在全息对偶中表明,在特定假设下,膨胀子在低能下饱和了膨胀流对应的反常Ward恒等式。

英文摘要:

We study a simple holographic model for gauge theories near the conformal edge to show that the dilaton can be parametrically lighter than any other composite states. The masses of all composite states, except the Nambu-Goldstone bosons like dilaton, are bounded by the infrared scale or the dynamical mass. The parametric dependence of the dilaton mass is controlled by the closeness of the anomalous dimension of the quark bilinear, that breaks spontaneously the scale symmetry, to the conformality. We also show in the holographic dual that under certain assumptions, the dilaton saturates at low energy the anomalous Ward identity for the dilatation currents.

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