论文标题

风味麸的异常尺寸和准式模式

Anomalous dimension and quasinormal modes of flavor branes

论文作者

Atashi, Mahdi, Fadafan, Kazem Bitaghsir

论文摘要

我们研究了D3/D7系统全息二元的标量准模式,该模式在有限温度下具有手性对称性破坏的量子场理论。从自下而上的方法中,我们考虑了一个非平凡的DILATON曲线,该轮廓负责夸克冷凝物的异常尺寸。这取决于模型中的新参数$ q $。通过改变此参数,我们研究了巨大和无质量标量准模式的行为。我们使用的数值方法是光谱方法,我们发现无质量的情况没有纯虚构模式,但它通过增加参数$ q $而出现。众所周知,这种模式在大规模病例中变成了速旋。然后,我们打开一个伪级场,并使用简单的ANSATZ研究对标量场的准模式的影响。通过改变模型中非平凡DILATON曲线的参数,我们在行走理论中定性研究了准模式。

We study scalar quasinormal modes in a D3/D7 system holographically dual to a quantum field theory with chiral symmetry breaking at finite temperature. From the bottom-up approach, we consider a nontrivial dilaton profile which is responsible for the anomalous dimension of the quark condensate. It depends on a new parameter$ q$ in the model. By varying this parameter, we study the behavior of the massive and massless scalar quasinormal modes. The numerical method that we use is the spectral method, and we find that there is no pure imaginary mode for the massless case but it appears by increasing the parameter $q$. It is known that this mode becomes tachyonic for massive cases. Then we turn on a pseudoscalar field and using a simple ansatz study its effect on the quasinormal modes of the scalar field. By varying the parameter of the nontrivial dilaton profile in the model, we qualitatively study quasinormal modes in walking theories.

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